Finding the Third Proportional to 387,938 and 582,433.50

Step by Step Solution

1. Step 1: Write the proportion equation
   387,938 : 582,433.50 = 582,433.50 : x
2. Step 2: Convert to fraction form
   387,938/582,433.50 = 582,433.50/x
3. Step 3: Cross multiply
   387,938x = 582,433.50 × 582,433.50
4. Step 4: Simplify right side
   387,938x = 339,228,781,922.25
5. Step 5: Solve for x
   x = 339,228,781,922.25/387,938
6. Step 6: Final answer
   x = 874,440.71