Finding the Third Proportional to 36,454.50 and 78,599.25

Step by Step Solution

1. Step 1: Write the proportion equation
   36,454.50 : 78,599.25 = 78,599.25 : x
2. Step 2: Convert to fraction form
   36,454.50/78,599.25 = 78,599.25/x
3. Step 3: Cross multiply
   36,454.50x = 78,599.25 × 78,599.25
4. Step 4: Simplify right side
   36,454.50x = 6,177,842,100.56
5. Step 5: Solve for x
   x = 6,177,842,100.56/36,454.50
6. Step 6: Final answer
   x = 169,467.20