Finding the Third Proportional to 152,865 and 316,530

Step by Step Solution

1. Step 1: Write the proportion equation
   152,865 : 316,530 = 316,530 : x
2. Step 2: Convert to fraction form
   152,865/316,530 = 316,530/x
3. Step 3: Cross multiply
   152,865x = 316,530 × 316,530
4. Step 4: Simplify right side
   152,865x = 100,191,240,900
5. Step 5: Solve for x
   x = 100,191,240,900/152,865
6. Step 6: Final answer
   x = 655,423.03