Finding the Third Proportional to 79,542 and 171,274.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,542 : 171,274.50 = 171,274.50 : x
2. Step 2: Convert to fraction form
   79,542/171,274.50 = 171,274.50/x
3. Step 3: Cross multiply
   79,542x = 171,274.50 × 171,274.50
4. Step 4: Simplify right side
   79,542x = 29,334,954,350.25
5. Step 5: Solve for x
   x = 29,334,954,350.25/79,542
6. Step 6: Final answer
   x = 368,798.30