Finding the Third Proportional to 109,776 and 169,470

Step by Step Solution

1. Step 1: Write the proportion equation
   109,776 : 169,470 = 169,470 : x
2. Step 2: Convert to fraction form
   109,776/169,470 = 169,470/x
3. Step 3: Cross multiply
   109,776x = 169,470 × 169,470
4. Step 4: Simplify right side
   109,776x = 28,720,080,900
5. Step 5: Solve for x
   x = 28,720,080,900/109,776
6. Step 6: Final answer
   x = 261,624.41