Finding the Third Proportional to 185.63 and 407.53

Step by Step Solution

1. Step 1: Write the proportion equation
   185.63 : 407.53 = 407.53 : x
2. Step 2: Convert to fraction form
   185.63/407.53 = 407.53/x
3. Step 3: Cross multiply
   185.63x = 407.53 × 407.53
4. Step 4: Simplify right side
   185.63x = 166,081.72
5. Step 5: Solve for x
   x = 166,081.72/185.63
6. Step 6: Final answer
   x = 894.72