Finding the Third Proportional to 153,724 and 196,422

Step by Step Solution

1. Step 1: Write the proportion equation
   153,724 : 196,422 = 196,422 : x
2. Step 2: Convert to fraction form
   153,724/196,422 = 196,422/x
3. Step 3: Cross multiply
   153,724x = 196,422 × 196,422
4. Step 4: Simplify right side
   153,724x = 38,581,602,084
5. Step 5: Solve for x
   x = 38,581,602,084/153,724
6. Step 6: Final answer
   x = 250,979.69