Finding the Third Proportional to 88,514 and 191,114

Step by Step Solution

1. Step 1: Write the proportion equation
   88,514 : 191,114 = 191,114 : x
2. Step 2: Convert to fraction form
   88,514/191,114 = 191,114/x
3. Step 3: Cross multiply
   88,514x = 191,114 × 191,114
4. Step 4: Simplify right side
   88,514x = 36,524,560,996
5. Step 5: Solve for x
   x = 36,524,560,996/88,514
6. Step 6: Final answer
   x = 412,641.63