Finding the Third Proportional to 87,626 and 191,468

Step by Step Solution

1. Step 1: Write the proportion equation
   87,626 : 191,468 = 191,468 : x
2. Step 2: Convert to fraction form
   87,626/191,468 = 191,468/x
3. Step 3: Cross multiply
   87,626x = 191,468 × 191,468
4. Step 4: Simplify right side
   87,626x = 36,659,995,024
5. Step 5: Solve for x
   x = 36,659,995,024/87,626
6. Step 6: Final answer
   x = 418,368.92