Finding the Third Proportional to 175,992 and 252,200.25

Step by Step Solution

1. Step 1: Write the proportion equation
   175,992 : 252,200.25 = 252,200.25 : x
2. Step 2: Convert to fraction form
   175,992/252,200.25 = 252,200.25/x
3. Step 3: Cross multiply
   175,992x = 252,200.25 × 252,200.25
4. Step 4: Simplify right side
   175,992x = 63,604,966,100.06
5. Step 5: Solve for x
   x = 63,604,966,100.06/175,992
6. Step 6: Final answer
   x = 361,408.28