Finding the Third Proportional to 185.63 and 275.06

Step by Step Solution

1. Step 1: Write the proportion equation
   185.63 : 275.06 = 275.06 : x
2. Step 2: Convert to fraction form
   185.63/275.06 = 275.06/x
3. Step 3: Cross multiply
   185.63x = 275.06 × 275.06
4. Step 4: Simplify right side
   185.63x = 75,659.38
5. Step 5: Solve for x
   x = 75,659.38/185.63
6. Step 6: Final answer
   x = 407.59