Finding the Third Proportional to 177,471 and 196,728.75

Step by Step Solution

1. Step 1: Write the proportion equation
   177,471 : 196,728.75 = 196,728.75 : x
2. Step 2: Convert to fraction form
   177,471/196,728.75 = 196,728.75/x
3. Step 3: Cross multiply
   177,471x = 196,728.75 × 196,728.75
4. Step 4: Simplify right side
   177,471x = 38,702,201,076.56
5. Step 5: Solve for x
   x = 38,702,201,076.56/177,471
6. Step 6: Final answer
   x = 218,076.20