Finding the Third Proportional to 49,293 and 76,489.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,293 : 76,489.50 = 76,489.50 : x
2. Step 2: Convert to fraction form
   49,293/76,489.50 = 76,489.50/x
3. Step 3: Cross multiply
   49,293x = 76,489.50 × 76,489.50
4. Step 4: Simplify right side
   49,293x = 5,850,643,610.25
5. Step 5: Solve for x
   x = 5,850,643,610.25/49,293
6. Step 6: Final answer
   x = 118,691.17