Finding the Third Proportional to 83,422 and 196,842.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,422 : 196,842.75 = 196,842.75 : x
2. Step 2: Convert to fraction form
   83,422/196,842.75 = 196,842.75/x
3. Step 3: Cross multiply
   83,422x = 196,842.75 × 196,842.75
4. Step 4: Simplify right side
   83,422x = 38,747,068,227.56
5. Step 5: Solve for x
   x = 38,747,068,227.56/83,422
6. Step 6: Final answer
   x = 464,470.62