Finding the Third Proportional to 67.71 and 147.76

Step by Step Solution

1. Step 1: Write the proportion equation
   67.71 : 147.76 = 147.76 : x
2. Step 2: Convert to fraction form
   67.71/147.76 = 147.76/x
3. Step 3: Cross multiply
   67.71x = 147.76 × 147.76
4. Step 4: Simplify right side
   67.71x = 21,833.53
5. Step 5: Solve for x
   x = 21,833.53/67.71
6. Step 6: Final answer
   x = 322.45