Finding the Third Proportional to 185.34 and 406.13

Step by Step Solution

1. Step 1: Write the proportion equation
   185.34 : 406.13 = 406.13 : x
2. Step 2: Convert to fraction form
   185.34/406.13 = 406.13/x
3. Step 3: Cross multiply
   185.34x = 406.13 × 406.13
4. Step 4: Simplify right side
   185.34x = 164,937.52
5. Step 5: Solve for x
   x = 164,937.52/185.34
6. Step 6: Final answer
   x = 889.90