Finding the Third Proportional to 40,648 and 87,776

Step by Step Solution

1. Step 1: Write the proportion equation
   40,648 : 87,776 = 87,776 : x
2. Step 2: Convert to fraction form
   40,648/87,776 = 87,776/x
3. Step 3: Cross multiply
   40,648x = 87,776 × 87,776
4. Step 4: Simplify right side
   40,648x = 7,704,626,176
5. Step 5: Solve for x
   x = 7,704,626,176/40,648
6. Step 6: Final answer
   x = 189,545.02