Finding the Third Proportional to 90,588 and 196,782

Step by Step Solution

1. Step 1: Write the proportion equation
   90,588 : 196,782 = 196,782 : x
2. Step 2: Convert to fraction form
   90,588/196,782 = 196,782/x
3. Step 3: Cross multiply
   90,588x = 196,782 × 196,782
4. Step 4: Simplify right side
   90,588x = 38,723,155,524
5. Step 5: Solve for x
   x = 38,723,155,524/90,588
6. Step 6: Final answer
   x = 427,464.52