Finding the Third Proportional to 49,377 and 76,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,377 : 76,465.50 = 76,465.50 : x
2. Step 2: Convert to fraction form
   49,377/76,465.50 = 76,465.50/x
3. Step 3: Cross multiply
   49,377x = 76,465.50 × 76,465.50
4. Step 4: Simplify right side
   49,377x = 5,846,972,690.25
5. Step 5: Solve for x
   x = 5,846,972,690.25/49,377
6. Step 6: Final answer
   x = 118,414.90