Finding the Third Proportional to 42,249 and 85,663

Step by Step Solution

1. Step 1: Write the proportion equation
   42,249 : 85,663 = 85,663 : x
2. Step 2: Convert to fraction form
   42,249/85,663 = 85,663/x
3. Step 3: Cross multiply
   42,249x = 85,663 × 85,663
4. Step 4: Simplify right side
   42,249x = 7,338,149,569
5. Step 5: Solve for x
   x = 7,338,149,569/42,249
6. Step 6: Final answer
   x = 173,688.12