Finding the Third Proportional to 89,062 and 191,948

Step by Step Solution

1. Step 1: Write the proportion equation
   89,062 : 191,948 = 191,948 : x
2. Step 2: Convert to fraction form
   89,062/191,948 = 191,948/x
3. Step 3: Cross multiply
   89,062x = 191,948 × 191,948
4. Step 4: Simplify right side
   89,062x = 36,844,034,704
5. Step 5: Solve for x
   x = 36,844,034,704/89,062
6. Step 6: Final answer
   x = 413,689.73