Finding the Third Proportional to 90,234 and 196,506

Step by Step Solution

1. Step 1: Write the proportion equation
   90,234 : 196,506 = 196,506 : x
2. Step 2: Convert to fraction form
   90,234/196,506 = 196,506/x
3. Step 3: Cross multiply
   90,234x = 196,506 × 196,506
4. Step 4: Simplify right side
   90,234x = 38,614,608,036
5. Step 5: Solve for x
   x = 38,614,608,036/90,234
6. Step 6: Final answer
   x = 427,938.56