Finding the Third Proportional to 36,179.50 and 78,372.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,179.50 : 78,372.50 = 78,372.50 : x
2. Step 2: Convert to fraction form
   36,179.50/78,372.50 = 78,372.50/x
3. Step 3: Cross multiply
   36,179.50x = 78,372.50 × 78,372.50
4. Step 4: Simplify right side
   36,179.50x = 6,142,248,756.25
5. Step 5: Solve for x
   x = 6,142,248,756.25/36,179.50
6. Step 6: Final answer
   x = 169,771.52