Finding the Third Proportional to 51,808.50 and 78,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,808.50 : 78,724.50 = 78,724.50 : x
2. Step 2: Convert to fraction form
   51,808.50/78,724.50 = 78,724.50/x
3. Step 3: Cross multiply
   51,808.50x = 78,724.50 × 78,724.50
4. Step 4: Simplify right side
   51,808.50x = 6,197,546,900.25
5. Step 5: Solve for x
   x = 6,197,546,900.25/51,808.50
6. Step 6: Final answer
   x = 119,624.13