Finding the Third Proportional to 78.47 and 149.34

Step by Step Solution

1. Step 1: Write the proportion equation
   78.47 : 149.34 = 149.34 : x
2. Step 2: Convert to fraction form
   78.47/149.34 = 149.34/x
3. Step 3: Cross multiply
   78.47x = 149.34 × 149.34
4. Step 4: Simplify right side
   78.47x = 22,303.56
5. Step 5: Solve for x
   x = 22,303.56/78.47
6. Step 6: Final answer
   x = 284.23