Finding the Third Proportional to 387,780 and 582,079.50

Step by Step Solution

1. Step 1: Write the proportion equation
   387,780 : 582,079.50 = 582,079.50 : x
2. Step 2: Convert to fraction form
   387,780/582,079.50 = 582,079.50/x
3. Step 3: Cross multiply
   387,780x = 582,079.50 × 582,079.50
4. Step 4: Simplify right side
   387,780x = 338,816,544,320.25
5. Step 5: Solve for x
   x = 338,816,544,320.25/387,780
6. Step 6: Final answer
   x = 873,733.93