Finding the Third Proportional to 175.87 and 342.72

Step by Step Solution

1. Step 1: Write the proportion equation
   175.87 : 342.72 = 342.72 : x
2. Step 2: Convert to fraction form
   175.87/342.72 = 342.72/x
3. Step 3: Cross multiply
   175.87x = 342.72 × 342.72
4. Step 4: Simplify right side
   175.87x = 117,457.48
5. Step 5: Solve for x
   x = 117,457.48/175.87
6. Step 6: Final answer
   x = 667.87