Finding the Third Proportional to 49,353 and 78,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,353 : 78,493.50 = 78,493.50 : x
2. Step 2: Convert to fraction form
   49,353/78,493.50 = 78,493.50/x
3. Step 3: Cross multiply
   49,353x = 78,493.50 × 78,493.50
4. Step 4: Simplify right side
   49,353x = 6,161,229,542.25
5. Step 5: Solve for x
   x = 6,161,229,542.25/49,353
6. Step 6: Final answer
   x = 124,840.02