Finding the Third Proportional to 38,182.50 and 78,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,182.50 : 78,983.50 = 78,983.50 : x
2. Step 2: Convert to fraction form
   38,182.50/78,983.50 = 78,983.50/x
3. Step 3: Cross multiply
   38,182.50x = 78,983.50 × 78,983.50
4. Step 4: Simplify right side
   38,182.50x = 6,238,393,272.25
5. Step 5: Solve for x
   x = 6,238,393,272.25/38,182.50
6. Step 6: Final answer
   x = 163,383.57