Finding the Third Proportional to 78,637 and 171,098

Step by Step Solution

1. Step 1: Write the proportion equation
   78,637 : 171,098 = 171,098 : x
2. Step 2: Convert to fraction form
   78,637/171,098 = 171,098/x
3. Step 3: Cross multiply
   78,637x = 171,098 × 171,098
4. Step 4: Simplify right side
   78,637x = 29,274,525,604
5. Step 5: Solve for x
   x = 29,274,525,604/78,637
6. Step 6: Final answer
   x = 372,274.19