Finding the Third Proportional to 38,180.25 and 78,979.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,180.25 : 78,979.50 = 78,979.50 : x
2. Step 2: Convert to fraction form
   38,180.25/78,979.50 = 78,979.50/x
3. Step 3: Cross multiply
   38,180.25x = 78,979.50 × 78,979.50
4. Step 4: Simplify right side
   38,180.25x = 6,237,761,420.25
5. Step 5: Solve for x
   x = 6,237,761,420.25/38,180.25
6. Step 6: Final answer
   x = 163,376.65