Finding the Third Proportional to 91,234 and 196,052

Step by Step Solution

1. Step 1: Write the proportion equation
   91,234 : 196,052 = 196,052 : x
2. Step 2: Convert to fraction form
   91,234/196,052 = 196,052/x
3. Step 3: Cross multiply
   91,234x = 196,052 × 196,052
4. Step 4: Simplify right side
   91,234x = 38,436,386,704
5. Step 5: Solve for x
   x = 38,436,386,704/91,234
6. Step 6: Final answer
   x = 421,294.55