Finding the Third Proportional to 275,276 and 402,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   275,276 : 402,290.50 = 402,290.50 : x
2. Step 2: Convert to fraction form
   275,276/402,290.50 = 402,290.50/x
3. Step 3: Cross multiply
   275,276x = 402,290.50 × 402,290.50
4. Step 4: Simplify right side
   275,276x = 161,837,646,390.25
5. Step 5: Solve for x
   x = 161,837,646,390.25/275,276
6. Step 6: Final answer
   x = 587,910.48