Finding the Third Proportional to 375,506.50 and 582,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   375,506.50 : 582,498.50 = 582,498.50 : x
2. Step 2: Convert to fraction form
   375,506.50/582,498.50 = 582,498.50/x
3. Step 3: Cross multiply
   375,506.50x = 582,498.50 × 582,498.50
4. Step 4: Simplify right side
   375,506.50x = 339,304,502,502.25
5. Step 5: Solve for x
   x = 339,304,502,502.25/375,506.50
6. Step 6: Final answer
   x = 903,591.56