Finding the Third Proportional to 75.30 and 148.46

Step by Step Solution

1. Step 1: Write the proportion equation
   75.30 : 148.46 = 148.46 : x
2. Step 2: Convert to fraction form
   75.30/148.46 = 148.46/x
3. Step 3: Cross multiply
   75.30x = 148.46 × 148.46
4. Step 4: Simplify right side
   75.30x = 22,041.81
5. Step 5: Solve for x
   x = 22,041.81/75.30
6. Step 6: Final answer
   x = 292.70