Finding the Third Proportional to 380,920 and 812,464

Step by Step Solution

1. Step 1: Write the proportion equation
   380,920 : 812,464 = 812,464 : x
2. Step 2: Convert to fraction form
   380,920/812,464 = 812,464/x
3. Step 3: Cross multiply
   380,920x = 812,464 × 812,464
4. Step 4: Simplify right side
   380,920x = 660,097,751,296
5. Step 5: Solve for x
   x = 660,097,751,296/380,920
6. Step 6: Final answer
   x = 1,732,903.89