Finding the Third Proportional to 117,507.75 and 175,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,507.75 : 175,819.50 = 175,819.50 : x
2. Step 2: Convert to fraction form
   117,507.75/175,819.50 = 175,819.50/x
3. Step 3: Cross multiply
   117,507.75x = 175,819.50 × 175,819.50
4. Step 4: Simplify right side
   117,507.75x = 30,912,496,580.25
5. Step 5: Solve for x
   x = 30,912,496,580.25/117,507.75
6. Step 6: Final answer
   x = 263,067.73