Finding the Third Proportional to 387,976.50 and 582,498

Step by Step Solution

1. Step 1: Write the proportion equation
   387,976.50 : 582,498 = 582,498 : x
2. Step 2: Convert to fraction form
   387,976.50/582,498 = 582,498/x
3. Step 3: Cross multiply
   387,976.50x = 582,498 × 582,498
4. Step 4: Simplify right side
   387,976.50x = 339,303,920,004
5. Step 5: Solve for x
   x = 339,303,920,004/387,976.50
6. Step 6: Final answer
   x = 874,547.61