Finding the Third Proportional to 175,353 and 271,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,353 : 271,213.50 = 271,213.50 : x
2. Step 2: Convert to fraction form
   175,353/271,213.50 = 271,213.50/x
3. Step 3: Cross multiply
   175,353x = 271,213.50 × 271,213.50
4. Step 4: Simplify right side
   175,353x = 73,556,762,582.25
5. Step 5: Solve for x
   x = 73,556,762,582.25/175,353
6. Step 6: Final answer
   x = 419,478.21