Finding the Third Proportional to 50,499 and 75,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,499 : 75,748.50 = 75,748.50 : x
2. Step 2: Convert to fraction form
   50,499/75,748.50 = 75,748.50/x
3. Step 3: Cross multiply
   50,499x = 75,748.50 × 75,748.50
4. Step 4: Simplify right side
   50,499x = 5,737,835,252.25
5. Step 5: Solve for x
   x = 5,737,835,252.25/50,499
6. Step 6: Final answer
   x = 113,622.75