Finding the Third Proportional to 52,117.50 and 106,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,117.50 : 106,078.50 = 106,078.50 : x
2. Step 2: Convert to fraction form
   52,117.50/106,078.50 = 106,078.50/x
3. Step 3: Cross multiply
   52,117.50x = 106,078.50 × 106,078.50
4. Step 4: Simplify right side
   52,117.50x = 11,252,648,162.25
5. Step 5: Solve for x
   x = 11,252,648,162.25/52,117.50
6. Step 6: Final answer
   x = 215,909.21