Finding the Third Proportional to 78,579 and 118,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,579 : 118,099.50 = 118,099.50 : x
2. Step 2: Convert to fraction form
   78,579/118,099.50 = 118,099.50/x
3. Step 3: Cross multiply
   78,579x = 118,099.50 × 118,099.50
4. Step 4: Simplify right side
   78,579x = 13,947,491,900.25
5. Step 5: Solve for x
   x = 13,947,491,900.25/78,579
6. Step 6: Final answer
   x = 177,496.43