Finding the Third Proportional to 49,238 and 76,385.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,238 : 76,385.50 = 76,385.50 : x
2. Step 2: Convert to fraction form
   49,238/76,385.50 = 76,385.50/x
3. Step 3: Cross multiply
   49,238x = 76,385.50 × 76,385.50
4. Step 4: Simplify right side
   49,238x = 5,834,744,610.25
5. Step 5: Solve for x
   x = 5,834,744,610.25/49,238
6. Step 6: Final answer
   x = 118,500.85