Finding the Third Proportional to 78,637 and 171,099

Step by Step Solution

1. Step 1: Write the proportion equation
   78,637 : 171,099 = 171,099 : x
2. Step 2: Convert to fraction form
   78,637/171,099 = 171,099/x
3. Step 3: Cross multiply
   78,637x = 171,099 × 171,099
4. Step 4: Simplify right side
   78,637x = 29,274,867,801
5. Step 5: Solve for x
   x = 29,274,867,801/78,637
6. Step 6: Final answer
   x = 372,278.54