Finding the Third Proportional to 40,103 and 86,563

Step by Step Solution

1. Step 1: Write the proportion equation
   40,103 : 86,563 = 86,563 : x
2. Step 2: Convert to fraction form
   40,103/86,563 = 86,563/x
3. Step 3: Cross multiply
   40,103x = 86,563 × 86,563
4. Step 4: Simplify right side
   40,103x = 7,493,152,969
5. Step 5: Solve for x
   x = 7,493,152,969/40,103
6. Step 6: Final answer
   x = 186,847.69