Finding the Third Proportional to 275.75 and 429.88

Step by Step Solution

1. Step 1: Write the proportion equation
   275.75 : 429.88 = 429.88 : x
2. Step 2: Convert to fraction form
   275.75/429.88 = 429.88/x
3. Step 3: Cross multiply
   275.75x = 429.88 × 429.88
4. Step 4: Simplify right side
   275.75x = 184,792.52
5. Step 5: Solve for x
   x = 184,792.52/275.75
6. Step 6: Final answer
   x = 670.15