Finding the Third Proportional to 152,382 and 315,516

Step by Step Solution

1. Step 1: Write the proportion equation
   152,382 : 315,516 = 315,516 : x
2. Step 2: Convert to fraction form
   152,382/315,516 = 315,516/x
3. Step 3: Cross multiply
   152,382x = 315,516 × 315,516
4. Step 4: Simplify right side
   152,382x = 99,550,346,256
5. Step 5: Solve for x
   x = 99,550,346,256/152,382
6. Step 6: Final answer
   x = 653,294.66