Finding the Third Proportional to 42,282 and 85,657.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,282 : 85,657.50 = 85,657.50 : x
2. Step 2: Convert to fraction form
   42,282/85,657.50 = 85,657.50/x
3. Step 3: Cross multiply
   42,282x = 85,657.50 × 85,657.50
4. Step 4: Simplify right side
   42,282x = 7,337,207,306.25
5. Step 5: Solve for x
   x = 7,337,207,306.25/42,282
6. Step 6: Final answer
   x = 173,530.28