Finding the Third Proportional to 90,626 and 196,820

Step by Step Solution

1. Step 1: Write the proportion equation
   90,626 : 196,820 = 196,820 : x
2. Step 2: Convert to fraction form
   90,626/196,820 = 196,820/x
3. Step 3: Cross multiply
   90,626x = 196,820 × 196,820
4. Step 4: Simplify right side
   90,626x = 38,738,112,400
5. Step 5: Solve for x
   x = 38,738,112,400/90,626
6. Step 6: Final answer
   x = 427,450.32