Finding the Third Proportional to 186.47 and 382.22

Step by Step Solution

1. Step 1: Write the proportion equation
   186.47 : 382.22 = 382.22 : x
2. Step 2: Convert to fraction form
   186.47/382.22 = 382.22/x
3. Step 3: Cross multiply
   186.47x = 382.22 × 382.22
4. Step 4: Simplify right side
   186.47x = 146,091.17
5. Step 5: Solve for x
   x = 146,091.17/186.47
6. Step 6: Final answer
   x = 783.46