Finding the Third Proportional to 42,255.50 and 85,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,255.50 : 85,677.50 = 85,677.50 : x
2. Step 2: Convert to fraction form
   42,255.50/85,677.50 = 85,677.50/x
3. Step 3: Cross multiply
   42,255.50x = 85,677.50 × 85,677.50
4. Step 4: Simplify right side
   42,255.50x = 7,340,634,006.25
5. Step 5: Solve for x
   x = 7,340,634,006.25/42,255.50
6. Step 6: Final answer
   x = 173,720.20