Finding the Third Proportional to 387,764 and 582,055.50

Step by Step Solution

1. Step 1: Write the proportion equation
   387,764 : 582,055.50 = 582,055.50 : x
2. Step 2: Convert to fraction form
   387,764/582,055.50 = 582,055.50/x
3. Step 3: Cross multiply
   387,764x = 582,055.50 × 582,055.50
4. Step 4: Simplify right side
   387,764x = 338,788,605,080.25
5. Step 5: Solve for x
   x = 338,788,605,080.25/387,764
6. Step 6: Final answer
   x = 873,697.93