Finding the Third Proportional to 83,470 and 196,845

Step by Step Solution

1. Step 1: Write the proportion equation
   83,470 : 196,845 = 196,845 : x
2. Step 2: Convert to fraction form
   83,470/196,845 = 196,845/x
3. Step 3: Cross multiply
   83,470x = 196,845 × 196,845
4. Step 4: Simplify right side
   83,470x = 38,747,954,025
5. Step 5: Solve for x
   x = 38,747,954,025/83,470
6. Step 6: Final answer
   x = 464,214.14