Finding the Third Proportional to 36,144.50 and 78,322.75

Step by Step Solution

1. Step 1: Write the proportion equation
   36,144.50 : 78,322.75 = 78,322.75 : x
2. Step 2: Convert to fraction form
   36,144.50/78,322.75 = 78,322.75/x
3. Step 3: Cross multiply
   36,144.50x = 78,322.75 × 78,322.75
4. Step 4: Simplify right side
   36,144.50x = 6,134,453,167.56
5. Step 5: Solve for x
   x = 6,134,453,167.56/36,144.50
6. Step 6: Final answer
   x = 169,720.24