Finding the Third Proportional to 52,737 and 117,138.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,737 : 117,138.50 = 117,138.50 : x
2. Step 2: Convert to fraction form
   52,737/117,138.50 = 117,138.50/x
3. Step 3: Cross multiply
   52,737x = 117,138.50 × 117,138.50
4. Step 4: Simplify right side
   52,737x = 13,721,428,182.25
5. Step 5: Solve for x
   x = 13,721,428,182.25/52,737
6. Step 6: Final answer
   x = 260,185.98