Finding the Third Proportional to 152.13 and 334.63

Step by Step Solution

1. Step 1: Write the proportion equation
   152.13 : 334.63 = 334.63 : x
2. Step 2: Convert to fraction form
   152.13/334.63 = 334.63/x
3. Step 3: Cross multiply
   152.13x = 334.63 × 334.63
4. Step 4: Simplify right side
   152.13x = 111,973.89
5. Step 5: Solve for x
   x = 111,973.89/152.13
6. Step 6: Final answer
   x = 736.07