Finding the Third Proportional to 59,434.50 and 123,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,434.50 : 123,802.50 = 123,802.50 : x
2. Step 2: Convert to fraction form
   59,434.50/123,802.50 = 123,802.50/x
3. Step 3: Cross multiply
   59,434.50x = 123,802.50 × 123,802.50
4. Step 4: Simplify right side
   59,434.50x = 15,327,059,006.25
5. Step 5: Solve for x
   x = 15,327,059,006.25/59,434.50
6. Step 6: Final answer
   x = 257,881.52