Finding the Third Proportional to 264,951 and 409,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,951 : 409,333.50 = 409,333.50 : x
2. Step 2: Convert to fraction form
   264,951/409,333.50 = 409,333.50/x
3. Step 3: Cross multiply
   264,951x = 409,333.50 × 409,333.50
4. Step 4: Simplify right side
   264,951x = 167,553,914,222.25
5. Step 5: Solve for x
   x = 167,553,914,222.25/264,951
6. Step 6: Final answer
   x = 632,395.86