Finding the Third Proportional to 172,782 and 282,139

Step by Step Solution

1. Step 1: Write the proportion equation
   172,782 : 282,139 = 282,139 : x
2. Step 2: Convert to fraction form
   172,782/282,139 = 282,139/x
3. Step 3: Cross multiply
   172,782x = 282,139 × 282,139
4. Step 4: Simplify right side
   172,782x = 79,602,415,321
5. Step 5: Solve for x
   x = 79,602,415,321/172,782
6. Step 6: Final answer
   x = 460,710.12