Finding the Third Proportional to 56,338.50 and 78,760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,338.50 : 78,760.50 = 78,760.50 : x
2. Step 2: Convert to fraction form
   56,338.50/78,760.50 = 78,760.50/x
3. Step 3: Cross multiply
   56,338.50x = 78,760.50 × 78,760.50
4. Step 4: Simplify right side
   56,338.50x = 6,203,216,360.25
5. Step 5: Solve for x
   x = 6,203,216,360.25/56,338.50
6. Step 6: Final answer
   x = 110,106.17