Finding the Third Proportional to 120,184.75 and 174,080.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,184.75 : 174,080.50 = 174,080.50 : x
2. Step 2: Convert to fraction form
   120,184.75/174,080.50 = 174,080.50/x
3. Step 3: Cross multiply
   120,184.75x = 174,080.50 × 174,080.50
4. Step 4: Simplify right side
   120,184.75x = 30,304,020,480.25
5. Step 5: Solve for x
   x = 30,304,020,480.25/120,184.75
6. Step 6: Final answer
   x = 252,145.31