Finding the Third Proportional to 275,268 and 402,279.50

Step by Step Solution

1. Step 1: Write the proportion equation
   275,268 : 402,279.50 = 402,279.50 : x
2. Step 2: Convert to fraction form
   275,268/402,279.50 = 402,279.50/x
3. Step 3: Cross multiply
   275,268x = 402,279.50 × 402,279.50
4. Step 4: Simplify right side
   275,268x = 161,828,796,120.25
5. Step 5: Solve for x
   x = 161,828,796,120.25/275,268
6. Step 6: Final answer
   x = 587,895.42