Finding the Third Proportional to 40,563 and 86,730

Step by Step Solution

1. Step 1: Write the proportion equation
   40,563 : 86,730 = 86,730 : x
2. Step 2: Convert to fraction form
   40,563/86,730 = 86,730/x
3. Step 3: Cross multiply
   40,563x = 86,730 × 86,730
4. Step 4: Simplify right side
   40,563x = 7,522,092,900
5. Step 5: Solve for x
   x = 7,522,092,900/40,563
6. Step 6: Final answer
   x = 185,442.22