Finding the Third Proportional to 140,800 and 286,492

Step by Step Solution

1. Step 1: Write the proportion equation
   140,800 : 286,492 = 286,492 : x
2. Step 2: Convert to fraction form
   140,800/286,492 = 286,492/x
3. Step 3: Cross multiply
   140,800x = 286,492 × 286,492
4. Step 4: Simplify right side
   140,800x = 82,077,666,064
5. Step 5: Solve for x
   x = 82,077,666,064/140,800
6. Step 6: Final answer
   x = 582,937.97