Finding the Third Proportional to 148.55 and 340.77

Step by Step Solution

1. Step 1: Write the proportion equation
   148.55 : 340.77 = 340.77 : x
2. Step 2: Convert to fraction form
   148.55/340.77 = 340.77/x
3. Step 3: Cross multiply
   148.55x = 340.77 × 340.77
4. Step 4: Simplify right side
   148.55x = 116,123.87
5. Step 5: Solve for x
   x = 116,123.87/148.55
6. Step 6: Final answer
   x = 781.70