Finding the Third Proportional to 387,740 and 582,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   387,740 : 582,019.50 = 582,019.50 : x
2. Step 2: Convert to fraction form
   387,740/582,019.50 = 582,019.50/x
3. Step 3: Cross multiply
   387,740x = 582,019.50 × 582,019.50
4. Step 4: Simplify right side
   387,740x = 338,746,698,380.25
5. Step 5: Solve for x
   x = 338,746,698,380.25/387,740
6. Step 6: Final answer
   x = 873,643.93