Finding the Third Proportional to 54,238.38 and 116,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,238.38 : 116,802.50 = 116,802.50 : x
2. Step 2: Convert to fraction form
   54,238.38/116,802.50 = 116,802.50/x
3. Step 3: Cross multiply
   54,238.38x = 116,802.50 × 116,802.50
4. Step 4: Simplify right side
   54,238.38x = 13,642,824,006.25
5. Step 5: Solve for x
   x = 13,642,824,006.25/54,238.38
6. Step 6: Final answer
   x = 251,534.53