Finding the Third Proportional to 152.63 and 184.69

Step by Step Solution

1. Step 1: Write the proportion equation
   152.63 : 184.69 = 184.69 : x
2. Step 2: Convert to fraction form
   152.63/184.69 = 184.69/x
3. Step 3: Cross multiply
   152.63x = 184.69 × 184.69
4. Step 4: Simplify right side
   152.63x = 34,109.47
5. Step 5: Solve for x
   x = 34,109.47/152.63
6. Step 6: Final answer
   x = 223.49