Finding the Third Proportional to 111,776 and 171,552

Step by Step Solution

1. Step 1: Write the proportion equation
   111,776 : 171,552 = 171,552 : x
2. Step 2: Convert to fraction form
   111,776/171,552 = 171,552/x
3. Step 3: Cross multiply
   111,776x = 171,552 × 171,552
4. Step 4: Simplify right side
   111,776x = 29,430,088,704
5. Step 5: Solve for x
   x = 29,430,088,704/111,776
6. Step 6: Final answer
   x = 263,295.24