Finding the Third Proportional to 150,654 and 233,275.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,654 : 233,275.50 = 233,275.50 : x
2. Step 2: Convert to fraction form
   150,654/233,275.50 = 233,275.50/x
3. Step 3: Cross multiply
   150,654x = 233,275.50 × 233,275.50
4. Step 4: Simplify right side
   150,654x = 54,417,458,900.25
5. Step 5: Solve for x
   x = 54,417,458,900.25/150,654
6. Step 6: Final answer
   x = 361,208.19