Finding the Third Proportional to 237,108 and 421,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   237,108 : 421,585.50 = 421,585.50 : x
2. Step 2: Convert to fraction form
   237,108/421,585.50 = 421,585.50/x
3. Step 3: Cross multiply
   237,108x = 421,585.50 × 421,585.50
4. Step 4: Simplify right side
   237,108x = 177,734,333,810.25
5. Step 5: Solve for x
   x = 177,734,333,810.25/237,108
6. Step 6: Final answer
   x = 749,592.31