Finding the Third Proportional to 83,030 and 171,966

Step by Step Solution

1. Step 1: Write the proportion equation
   83,030 : 171,966 = 171,966 : x
2. Step 2: Convert to fraction form
   83,030/171,966 = 171,966/x
3. Step 3: Cross multiply
   83,030x = 171,966 × 171,966
4. Step 4: Simplify right side
   83,030x = 29,572,305,156
5. Step 5: Solve for x
   x = 29,572,305,156/83,030
6. Step 6: Final answer
   x = 356,164.10