Finding the Third Proportional to 216,085.50 and 315,822

Step by Step Solution

1. Step 1: Write the proportion equation
   216,085.50 : 315,822 = 315,822 : x
2. Step 2: Convert to fraction form
   216,085.50/315,822 = 315,822/x
3. Step 3: Cross multiply
   216,085.50x = 315,822 × 315,822
4. Step 4: Simplify right side
   216,085.50x = 99,743,535,684
5. Step 5: Solve for x
   x = 99,743,535,684/216,085.50
6. Step 6: Final answer
   x = 461,592.91