Finding the Third Proportional to 83,760.75 and 176,836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,760.75 : 176,836.50 = 176,836.50 : x
2. Step 2: Convert to fraction form
   83,760.75/176,836.50 = 176,836.50/x
3. Step 3: Cross multiply
   83,760.75x = 176,836.50 × 176,836.50
4. Step 4: Simplify right side
   83,760.75x = 31,271,147,732.25
5. Step 5: Solve for x
   x = 31,271,147,732.25/83,760.75
6. Step 6: Final answer
   x = 373,338.92