Finding the Third Proportional to 296,149 and 433,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   296,149 : 433,116.50 = 433,116.50 : x
2. Step 2: Convert to fraction form
   296,149/433,116.50 = 433,116.50/x
3. Step 3: Cross multiply
   296,149x = 433,116.50 × 433,116.50
4. Step 4: Simplify right side
   296,149x = 187,589,902,572.25
5. Step 5: Solve for x
   x = 187,589,902,572.25/296,149
6. Step 6: Final answer
   x = 633,430.82