Finding the Third Proportional to 387,768.50 and 582,062.50

Step by Step Solution

1. Step 1: Write the proportion equation
   387,768.50 : 582,062.50 = 582,062.50 : x
2. Step 2: Convert to fraction form
   387,768.50/582,062.50 = 582,062.50/x
3. Step 3: Cross multiply
   387,768.50x = 582,062.50 × 582,062.50
4. Step 4: Simplify right side
   387,768.50x = 338,796,753,906.25
5. Step 5: Solve for x
   x = 338,796,753,906.25/387,768.50
6. Step 6: Final answer
   x = 873,708.81