Finding the Third Proportional to 76.50 and 152.63

Step by Step Solution

1. Step 1: Write the proportion equation
   76.50 : 152.63 = 152.63 : x
2. Step 2: Convert to fraction form
   76.50/152.63 = 152.63/x
3. Step 3: Cross multiply
   76.50x = 152.63 × 152.63
4. Step 4: Simplify right side
   76.50x = 23,294.39
5. Step 5: Solve for x
   x = 23,294.39/76.50
6. Step 6: Final answer
   x = 304.50