Finding the Third Proportional to 117,675 and 179,591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,675 : 179,591.50 = 179,591.50 : x
2. Step 2: Convert to fraction form
   117,675/179,591.50 = 179,591.50/x
3. Step 3: Cross multiply
   117,675x = 179,591.50 × 179,591.50
4. Step 4: Simplify right side
   117,675x = 32,253,106,872.25
5. Step 5: Solve for x
   x = 32,253,106,872.25/117,675
6. Step 6: Final answer
   x = 274,086.31