Finding the Third Proportional to 49,157 and 74,138.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,157 : 74,138.50 = 74,138.50 : x
2. Step 2: Convert to fraction form
   49,157/74,138.50 = 74,138.50/x
3. Step 3: Cross multiply
   49,157x = 74,138.50 × 74,138.50
4. Step 4: Simplify right side
   49,157x = 5,496,517,182.25
5. Step 5: Solve for x
   x = 5,496,517,182.25/49,157
6. Step 6: Final answer
   x = 111,815.55