Finding the Third Proportional to 90,724 and 196,052

Step by Step Solution

1. Step 1: Write the proportion equation
   90,724 : 196,052 = 196,052 : x
2. Step 2: Convert to fraction form
   90,724/196,052 = 196,052/x
3. Step 3: Cross multiply
   90,724x = 196,052 × 196,052
4. Step 4: Simplify right side
   90,724x = 38,436,386,704
5. Step 5: Solve for x
   x = 38,436,386,704/90,724
6. Step 6: Final answer
   x = 423,662.83