Finding the Third Proportional to 150,139.50 and 233,818.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,139.50 : 233,818.50 = 233,818.50 : x
2. Step 2: Convert to fraction form
   150,139.50/233,818.50 = 233,818.50/x
3. Step 3: Cross multiply
   150,139.50x = 233,818.50 × 233,818.50
4. Step 4: Simplify right side
   150,139.50x = 54,671,090,942.25
5. Step 5: Solve for x
   x = 54,671,090,942.25/150,139.50
6. Step 6: Final answer
   x = 364,135.29