Finding the Third Proportional to 49,393.50 and 78,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,393.50 : 78,464.50 = 78,464.50 : x
2. Step 2: Convert to fraction form
   49,393.50/78,464.50 = 78,464.50/x
3. Step 3: Cross multiply
   49,393.50x = 78,464.50 × 78,464.50
4. Step 4: Simplify right side
   49,393.50x = 6,156,677,760.25
5. Step 5: Solve for x
   x = 6,156,677,760.25/49,393.50
6. Step 6: Final answer
   x = 124,645.51