Finding the Third Proportional to 377,880.75 and 585,076.50

Step by Step Solution

1. Step 1: Write the proportion equation
   377,880.75 : 585,076.50 = 585,076.50 : x
2. Step 2: Convert to fraction form
   377,880.75/585,076.50 = 585,076.50/x
3. Step 3: Cross multiply
   377,880.75x = 585,076.50 × 585,076.50
4. Step 4: Simplify right side
   377,880.75x = 342,314,510,852.25
5. Step 5: Solve for x
   x = 342,314,510,852.25/377,880.75
6. Step 6: Final answer
   x = 905,879.73