Finding the Third Proportional to 275,266 and 402,277.50

Step by Step Solution

1. Step 1: Write the proportion equation
   275,266 : 402,277.50 = 402,277.50 : x
2. Step 2: Convert to fraction form
   275,266/402,277.50 = 402,277.50/x
3. Step 3: Cross multiply
   275,266x = 402,277.50 × 402,277.50
4. Step 4: Simplify right side
   275,266x = 161,827,187,006.25
5. Step 5: Solve for x
   x = 161,827,187,006.25/275,266
6. Step 6: Final answer
   x = 587,893.84