Finding the Third Proportional to 89,898 and 197,076

Step by Step Solution

1. Step 1: Write the proportion equation
   89,898 : 197,076 = 197,076 : x
2. Step 2: Convert to fraction form
   89,898/197,076 = 197,076/x
3. Step 3: Cross multiply
   89,898x = 197,076 × 197,076
4. Step 4: Simplify right side
   89,898x = 38,838,949,776
5. Step 5: Solve for x
   x = 38,838,949,776/89,898
6. Step 6: Final answer
   x = 432,033.52