Finding the Third Proportional to 140,792.25 and 286,475.25

Step by Step Solution

1. Step 1: Write the proportion equation
   140,792.25 : 286,475.25 = 286,475.25 : x
2. Step 2: Convert to fraction form
   140,792.25/286,475.25 = 286,475.25/x
3. Step 3: Cross multiply
   140,792.25x = 286,475.25 × 286,475.25
4. Step 4: Simplify right side
   140,792.25x = 82,068,068,862.56
5. Step 5: Solve for x
   x = 82,068,068,862.56/140,792.25
6. Step 6: Final answer
   x = 582,901.89