Finding the Third Proportional to 47,418 and 102,187.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,418 : 102,187.50 = 102,187.50 : x
2. Step 2: Convert to fraction form
   47,418/102,187.50 = 102,187.50/x
3. Step 3: Cross multiply
   47,418x = 102,187.50 × 102,187.50
4. Step 4: Simplify right side
   47,418x = 10,442,285,156.25
5. Step 5: Solve for x
   x = 10,442,285,156.25/47,418
6. Step 6: Final answer
   x = 220,217.75