Finding the Third Proportional to 124,706.50 and 182,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   124,706.50 : 182,637.50 = 182,637.50 : x
2. Step 2: Convert to fraction form
   124,706.50/182,637.50 = 182,637.50/x
3. Step 3: Cross multiply
   124,706.50x = 182,637.50 × 182,637.50
4. Step 4: Simplify right side
   124,706.50x = 33,356,456,406.25
5. Step 5: Solve for x
   x = 33,356,456,406.25/124,706.50
6. Step 6: Final answer
   x = 267,479.69