Finding the Third Proportional to 36,598.50 and 78,738.75

Step by Step Solution

1. Step 1: Write the proportion equation
   36,598.50 : 78,738.75 = 78,738.75 : x
2. Step 2: Convert to fraction form
   36,598.50/78,738.75 = 78,738.75/x
3. Step 3: Cross multiply
   36,598.50x = 78,738.75 × 78,738.75
4. Step 4: Simplify right side
   36,598.50x = 6,199,790,751.56
5. Step 5: Solve for x
   x = 6,199,790,751.56/36,598.50
6. Step 6: Final answer
   x = 169,400.13