Finding the Third Proportional to 38,778.50 and 83,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,778.50 : 83,746.50 = 83,746.50 : x
2. Step 2: Convert to fraction form
   38,778.50/83,746.50 = 83,746.50/x
3. Step 3: Cross multiply
   38,778.50x = 83,746.50 × 83,746.50
4. Step 4: Simplify right side
   38,778.50x = 7,013,476,262.25
5. Step 5: Solve for x
   x = 7,013,476,262.25/38,778.50
6. Step 6: Final answer
   x = 180,859.92