Finding the Third Proportional to 38,180.75 and 78,980.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,180.75 : 78,980.50 = 78,980.50 : x
2. Step 2: Convert to fraction form
   38,180.75/78,980.50 = 78,980.50/x
3. Step 3: Cross multiply
   38,180.75x = 78,980.50 × 78,980.50
4. Step 4: Simplify right side
   38,180.75x = 6,237,919,380.25
5. Step 5: Solve for x
   x = 6,237,919,380.25/38,180.75
6. Step 6: Final answer
   x = 163,378.65