Finding the Third Proportional to 78,023.53 and 117,855.42

Step by Step Solution

1. Step 1: Write the proportion equation
   78,023.53 : 117,855.42 = 117,855.42 : x
2. Step 2: Convert to fraction form
   78,023.53/117,855.42 = 117,855.42/x
3. Step 3: Cross multiply
   78,023.53x = 117,855.42 × 117,855.42
4. Step 4: Simplify right side
   78,023.53x = 13,889,900,465.33
5. Step 5: Solve for x
   x = 13,889,900,465.33/78,023.53
6. Step 6: Final answer
   x = 178,021.94