Finding the Third Proportional to 89,552 and 196,948

Step by Step Solution

1. Step 1: Write the proportion equation
   89,552 : 196,948 = 196,948 : x
2. Step 2: Convert to fraction form
   89,552/196,948 = 196,948/x
3. Step 3: Cross multiply
   89,552x = 196,948 × 196,948
4. Step 4: Simplify right side
   89,552x = 38,788,514,704
5. Step 5: Solve for x
   x = 38,788,514,704/89,552
6. Step 6: Final answer
   x = 433,139.57