Finding the Third Proportional to 69.94 and 147.72

Step by Step Solution

1. Step 1: Write the proportion equation
   69.94 : 147.72 = 147.72 : x
2. Step 2: Convert to fraction form
   69.94/147.72 = 147.72/x
3. Step 3: Cross multiply
   69.94x = 147.72 × 147.72
4. Step 4: Simplify right side
   69.94x = 21,820.83
5. Step 5: Solve for x
   x = 21,820.83/69.94
6. Step 6: Final answer
   x = 312.00