Finding the Third Proportional to 90,084 and 196,023

Step by Step Solution

1. Step 1: Write the proportion equation
   90,084 : 196,023 = 196,023 : x
2. Step 2: Convert to fraction form
   90,084/196,023 = 196,023/x
3. Step 3: Cross multiply
   90,084x = 196,023 × 196,023
4. Step 4: Simplify right side
   90,084x = 38,425,016,529
5. Step 5: Solve for x
   x = 38,425,016,529/90,084
6. Step 6: Final answer
   x = 426,546.52