Finding the Third Proportional to 347.72 and 538.22

Step by Step Solution

1. Step 1: Write the proportion equation
   347.72 : 538.22 = 538.22 : x
2. Step 2: Convert to fraction form
   347.72/538.22 = 538.22/x
3. Step 3: Cross multiply
   347.72x = 538.22 × 538.22
4. Step 4: Simplify right side
   347.72x = 289,679.42
5. Step 5: Solve for x
   x = 289,679.42/347.72
6. Step 6: Final answer
   x = 833.09