Finding the Third Proportional to 40,446 and 86,746

Step by Step Solution

1. Step 1: Write the proportion equation
   40,446 : 86,746 = 86,746 : x
2. Step 2: Convert to fraction form
   40,446/86,746 = 86,746/x
3. Step 3: Cross multiply
   40,446x = 86,746 × 86,746
4. Step 4: Simplify right side
   40,446x = 7,524,868,516
5. Step 5: Solve for x
   x = 7,524,868,516/40,446
6. Step 6: Final answer
   x = 186,047.29