Finding the Third Proportional to 383,108 and 577,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   383,108 : 577,577.50 = 577,577.50 : x
2. Step 2: Convert to fraction form
   383,108/577,577.50 = 577,577.50/x
3. Step 3: Cross multiply
   383,108x = 577,577.50 × 577,577.50
4. Step 4: Simplify right side
   383,108x = 333,595,768,506.25
5. Step 5: Solve for x
   x = 333,595,768,506.25/383,108
6. Step 6: Final answer
   x = 870,761.69