Finding the Third Proportional to 264,400.50 and 402,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,400.50 : 402,796.50 = 402,796.50 : x
2. Step 2: Convert to fraction form
   264,400.50/402,796.50 = 402,796.50/x
3. Step 3: Cross multiply
   264,400.50x = 402,796.50 × 402,796.50
4. Step 4: Simplify right side
   264,400.50x = 162,245,020,412.25
5. Step 5: Solve for x
   x = 162,245,020,412.25/264,400.50
6. Step 6: Final answer
   x = 613,633.56