Finding the Third Proportional to 172,786 and 282,146

Step by Step Solution

1. Step 1: Write the proportion equation
   172,786 : 282,146 = 282,146 : x
2. Step 2: Convert to fraction form
   172,786/282,146 = 282,146/x
3. Step 3: Cross multiply
   172,786x = 282,146 × 282,146
4. Step 4: Simplify right side
   172,786x = 79,606,365,316
5. Step 5: Solve for x
   x = 79,606,365,316/172,786
6. Step 6: Final answer
   x = 460,722.31