Finding the Third Proportional to 338,676.75 and 464,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   338,676.75 : 464,410.50 = 464,410.50 : x
2. Step 2: Convert to fraction form
   338,676.75/464,410.50 = 464,410.50/x
3. Step 3: Cross multiply
   338,676.75x = 464,410.50 × 464,410.50
4. Step 4: Simplify right side
   338,676.75x = 215,677,112,510.25
5. Step 5: Solve for x
   x = 215,677,112,510.25/338,676.75
6. Step 6: Final answer
   x = 636,822.91