Finding the Third Proportional to 152,793 and 316,359

Step by Step Solution

1. Step 1: Write the proportion equation
   152,793 : 316,359 = 316,359 : x
2. Step 2: Convert to fraction form
   152,793/316,359 = 316,359/x
3. Step 3: Cross multiply
   152,793x = 316,359 × 316,359
4. Step 4: Simplify right side
   152,793x = 100,083,016,881
5. Step 5: Solve for x
   x = 100,083,016,881/152,793
6. Step 6: Final answer
   x = 655,023.57