Finding the Third Proportional to 175.50 and 382.22

Step by Step Solution

1. Step 1: Write the proportion equation
   175.50 : 382.22 = 382.22 : x
2. Step 2: Convert to fraction form
   175.50/382.22 = 382.22/x
3. Step 3: Cross multiply
   175.50x = 382.22 × 382.22
4. Step 4: Simplify right side
   175.50x = 146,091.17
5. Step 5: Solve for x
   x = 146,091.17/175.50
6. Step 6: Final answer
   x = 832.43