Finding the Third Proportional to 172,974 and 380,000

Step by Step Solution

1. Step 1: Write the proportion equation
   172,974 : 380,000 = 380,000 : x
2. Step 2: Convert to fraction form
   172,974/380,000 = 380,000/x
3. Step 3: Cross multiply
   172,974x = 380,000 × 380,000
4. Step 4: Simplify right side
   172,974x = 144,400,000,000
5. Step 5: Solve for x
   x = 144,400,000,000/172,974
6. Step 6: Final answer
   x = 834,807.54