Finding the Third Proportional to 173,724 and 261,003

Step by Step Solution

1. Step 1: Write the proportion equation
   173,724 : 261,003 = 261,003 : x
2. Step 2: Convert to fraction form
   173,724/261,003 = 261,003/x
3. Step 3: Cross multiply
   173,724x = 261,003 × 261,003
4. Step 4: Simplify right side
   173,724x = 68,122,566,009
5. Step 5: Solve for x
   x = 68,122,566,009/173,724
6. Step 6: Final answer
   x = 392,131.00