Finding the Third Proportional to 78,962 and 171,028

Step by Step Solution

1. Step 1: Write the proportion equation
   78,962 : 171,028 = 171,028 : x
2. Step 2: Convert to fraction form
   78,962/171,028 = 171,028/x
3. Step 3: Cross multiply
   78,962x = 171,028 × 171,028
4. Step 4: Simplify right side
   78,962x = 29,250,576,784
5. Step 5: Solve for x
   x = 29,250,576,784/78,962
6. Step 6: Final answer
   x = 370,438.65