Finding the Third Proportional to 314,496 and 658,152

Step by Step Solution

1. Step 1: Write the proportion equation
   314,496 : 658,152 = 658,152 : x
2. Step 2: Convert to fraction form
   314,496/658,152 = 658,152/x
3. Step 3: Cross multiply
   314,496x = 658,152 × 658,152
4. Step 4: Simplify right side
   314,496x = 433,164,055,104
5. Step 5: Solve for x
   x = 433,164,055,104/314,496
6. Step 6: Final answer
   x = 1,377,327.71