Finding the Third Proportional to 375,577.50 and 582,435

Step by Step Solution

1. Step 1: Write the proportion equation
   375,577.50 : 582,435 = 582,435 : x
2. Step 2: Convert to fraction form
   375,577.50/582,435 = 582,435/x
3. Step 3: Cross multiply
   375,577.50x = 582,435 × 582,435
4. Step 4: Simplify right side
   375,577.50x = 339,230,529,225
5. Step 5: Solve for x
   x = 339,230,529,225/375,577.50
6. Step 6: Final answer
   x = 903,223.78