Finding the Third Proportional to 87,776 and 142,608

Step by Step Solution

1. Step 1: Write the proportion equation
   87,776 : 142,608 = 142,608 : x
2. Step 2: Convert to fraction form
   87,776/142,608 = 142,608/x
3. Step 3: Cross multiply
   87,776x = 142,608 × 142,608
4. Step 4: Simplify right side
   87,776x = 20,337,041,664
5. Step 5: Solve for x
   x = 20,337,041,664/87,776
6. Step 6: Final answer
   x = 231,692.51