Finding the Third Proportional to 80,401 and 118,192.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,401 : 118,192.50 = 118,192.50 : x
2. Step 2: Convert to fraction form
   80,401/118,192.50 = 118,192.50/x
3. Step 3: Cross multiply
   80,401x = 118,192.50 × 118,192.50
4. Step 4: Simplify right side
   80,401x = 13,969,467,056.25
5. Step 5: Solve for x
   x = 13,969,467,056.25/80,401
6. Step 6: Final answer
   x = 173,747.43