Finding the Third Proportional to 150,714 and 233,151.75

Step by Step Solution

1. Step 1: Write the proportion equation
   150,714 : 233,151.75 = 233,151.75 : x
2. Step 2: Convert to fraction form
   150,714/233,151.75 = 233,151.75/x
3. Step 3: Cross multiply
   150,714x = 233,151.75 × 233,151.75
4. Step 4: Simplify right side
   150,714x = 54,359,738,528.06
5. Step 5: Solve for x
   x = 54,359,738,528.06/150,714
6. Step 6: Final answer
   x = 360,681.41