Finding the Third Proportional to 175.31 and 377.72

Step by Step Solution

1. Step 1: Write the proportion equation
   175.31 : 377.72 = 377.72 : x
2. Step 2: Convert to fraction form
   175.31/377.72 = 377.72/x
3. Step 3: Cross multiply
   175.31x = 377.72 × 377.72
4. Step 4: Simplify right side
   175.31x = 142,671.45
5. Step 5: Solve for x
   x = 142,671.45/175.31
6. Step 6: Final answer
   x = 813.81