Finding the Third Proportional to 38,847 and 83,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,847 : 83,233.50 = 83,233.50 : x
2. Step 2: Convert to fraction form
   38,847/83,233.50 = 83,233.50/x
3. Step 3: Cross multiply
   38,847x = 83,233.50 × 83,233.50
4. Step 4: Simplify right side
   38,847x = 6,927,815,522.25
5. Step 5: Solve for x
   x = 6,927,815,522.25/38,847
6. Step 6: Final answer
   x = 178,335.92