Finding the Third Proportional to 53,437 and 114,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,437 : 114,024.50 = 114,024.50 : x
2. Step 2: Convert to fraction form
   53,437/114,024.50 = 114,024.50/x
3. Step 3: Cross multiply
   53,437x = 114,024.50 × 114,024.50
4. Step 4: Simplify right side
   53,437x = 13,001,586,600.25
5. Step 5: Solve for x
   x = 13,001,586,600.25/53,437
6. Step 6: Final answer
   x = 243,306.82