Finding the Third Proportional to 120,184 and 174,079.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,184 : 174,079.50 = 174,079.50 : x
2. Step 2: Convert to fraction form
   120,184/174,079.50 = 174,079.50/x
3. Step 3: Cross multiply
   120,184x = 174,079.50 × 174,079.50
4. Step 4: Simplify right side
   120,184x = 30,303,672,320.25
5. Step 5: Solve for x
   x = 30,303,672,320.25/120,184
6. Step 6: Final answer
   x = 252,143.98