Finding the Third Proportional to 91,188 and 196,002

Step by Step Solution

1. Step 1: Write the proportion equation
   91,188 : 196,002 = 196,002 : x
2. Step 2: Convert to fraction form
   91,188/196,002 = 196,002/x
3. Step 3: Cross multiply
   91,188x = 196,002 × 196,002
4. Step 4: Simplify right side
   91,188x = 38,416,784,004
5. Step 5: Solve for x
   x = 38,416,784,004/91,188
6. Step 6: Final answer
   x = 421,292.10