Finding the Third Proportional to 296,151 and 433,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   296,151 : 433,119.50 = 433,119.50 : x
2. Step 2: Convert to fraction form
   296,151/433,119.50 = 433,119.50/x
3. Step 3: Cross multiply
   296,151x = 433,119.50 × 433,119.50
4. Step 4: Simplify right side
   296,151x = 187,592,501,280.25
5. Step 5: Solve for x
   x = 187,592,501,280.25/296,151
6. Step 6: Final answer
   x = 633,435.31