Finding the Third Proportional to 726,802,003,122 and 1,590,384,165,042

Step by Step Solution

1. Step 1: Write the proportion equation
   726,802,003,122 : 1,590,384,165,042 = 1,590,384,165,042 : x
2. Step 2: Convert to fraction form
   726,802,003,122/1,590,384,165,042 = 1,590,384,165,042/x
3. Step 3: Cross multiply
   726,802,003,122x = 1,590,384,165,042 × 1,590,384,165,042
4. Step 4: Simplify right side
   726,802,003,122x = 2,529,321,792,416,339,279,740,928
5. Step 5: Solve for x
   x = 2,529,321,792,416,339,279,740,928/726,802,003,122
6. Step 6: Final answer
   x = 3,480,069,924,892.28