Finding the Third Proportional to 150,612.75 and 233,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,612.75 : 233,212.50 = 233,212.50 : x
2. Step 2: Convert to fraction form
   150,612.75/233,212.50 = 233,212.50/x
3. Step 3: Cross multiply
   150,612.75x = 233,212.50 × 233,212.50
4. Step 4: Simplify right side
   150,612.75x = 54,388,070,156.25
5. Step 5: Solve for x
   x = 54,388,070,156.25/150,612.75
6. Step 6: Final answer
   x = 361,111.99