Finding the Third Proportional to 84.63 and 184.59

Step by Step Solution

1. Step 1: Write the proportion equation
   84.63 : 184.59 = 184.59 : x
2. Step 2: Convert to fraction form
   84.63/184.59 = 184.59/x
3. Step 3: Cross multiply
   84.63x = 184.59 × 184.59
4. Step 4: Simplify right side
   84.63x = 34,074.85
5. Step 5: Solve for x
   x = 34,074.85/84.63
6. Step 6: Final answer
   x = 402.62