Finding the Third Proportional to 201,910.50 and 316,782

Step by Step Solution

1. Step 1: Write the proportion equation
   201,910.50 : 316,782 = 316,782 : x
2. Step 2: Convert to fraction form
   201,910.50/316,782 = 316,782/x
3. Step 3: Cross multiply
   201,910.50x = 316,782 × 316,782
4. Step 4: Simplify right side
   201,910.50x = 100,350,835,524
5. Step 5: Solve for x
   x = 100,350,835,524/201,910.50
6. Step 6: Final answer
   x = 497,006.52