Finding the Third Proportional to 172,186 and 377,600

Step by Step Solution

1. Step 1: Write the proportion equation
   172,186 : 377,600 = 377,600 : x
2. Step 2: Convert to fraction form
   172,186/377,600 = 377,600/x
3. Step 3: Cross multiply
   172,186x = 377,600 × 377,600
4. Step 4: Simplify right side
   172,186x = 142,581,760,000
5. Step 5: Solve for x
   x = 142,581,760,000/172,186
6. Step 6: Final answer
   x = 828,068.25