Finding the Third Proportional to 52,518 and 78,815.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,518 : 78,815.50 = 78,815.50 : x
2. Step 2: Convert to fraction form
   52,518/78,815.50 = 78,815.50/x
3. Step 3: Cross multiply
   52,518x = 78,815.50 × 78,815.50
4. Step 4: Simplify right side
   52,518x = 6,211,883,040.25
5. Step 5: Solve for x
   x = 6,211,883,040.25/52,518
6. Step 6: Final answer
   x = 118,281.03