Finding the Third Proportional to 38,958 and 83,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,958 : 83,315.50 = 83,315.50 : x
2. Step 2: Convert to fraction form
   38,958/83,315.50 = 83,315.50/x
3. Step 3: Cross multiply
   38,958x = 83,315.50 × 83,315.50
4. Step 4: Simplify right side
   38,958x = 6,941,472,540.25
5. Step 5: Solve for x
   x = 6,941,472,540.25/38,958
6. Step 6: Final answer
   x = 178,178.36