Finding the Third Proportional to 89,776 and 197,040

Step by Step Solution

1. Step 1: Write the proportion equation
   89,776 : 197,040 = 197,040 : x
2. Step 2: Convert to fraction form
   89,776/197,040 = 197,040/x
3. Step 3: Cross multiply
   89,776x = 197,040 × 197,040
4. Step 4: Simplify right side
   89,776x = 38,824,761,600
5. Step 5: Solve for x
   x = 38,824,761,600/89,776
6. Step 6: Final answer
   x = 432,462.59