Finding the Third Proportional to 52,536.75 and 116,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,536.75 : 116,737.50 = 116,737.50 : x
2. Step 2: Convert to fraction form
   52,536.75/116,737.50 = 116,737.50/x
3. Step 3: Cross multiply
   52,536.75x = 116,737.50 × 116,737.50
4. Step 4: Simplify right side
   52,536.75x = 13,627,643,906.25
5. Step 5: Solve for x
   x = 13,627,643,906.25/52,536.75
6. Step 6: Final answer
   x = 259,392.59