Finding the Third Proportional to 91,281 and 196,143

Step by Step Solution

1. Step 1: Write the proportion equation
   91,281 : 196,143 = 196,143 : x
2. Step 2: Convert to fraction form
   91,281/196,143 = 196,143/x
3. Step 3: Cross multiply
   91,281x = 196,143 × 196,143
4. Step 4: Simplify right side
   91,281x = 38,472,076,449
5. Step 5: Solve for x
   x = 38,472,076,449/91,281
6. Step 6: Final answer
   x = 421,468.61