Finding the Third Proportional to 83.06 and 147.94

Step by Step Solution

1. Step 1: Write the proportion equation
   83.06 : 147.94 = 147.94 : x
2. Step 2: Convert to fraction form
   83.06/147.94 = 147.94/x
3. Step 3: Cross multiply
   83.06x = 147.94 × 147.94
4. Step 4: Simplify right side
   83.06x = 21,885.50
5. Step 5: Solve for x
   x = 21,885.50/83.06
6. Step 6: Final answer
   x = 263.48