Finding the Third Proportional to 124,569 and 193,254.75

Step by Step Solution

1. Step 1: Write the proportion equation
   124,569 : 193,254.75 = 193,254.75 : x
2. Step 2: Convert to fraction form
   124,569/193,254.75 = 193,254.75/x
3. Step 3: Cross multiply
   124,569x = 193,254.75 × 193,254.75
4. Step 4: Simplify right side
   124,569x = 37,347,398,397.56
5. Step 5: Solve for x
   x = 37,347,398,397.56/124,569
6. Step 6: Final answer
   x = 299,812.94