Finding the Third Proportional to 52,084 and 107,860.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,084 : 107,860.50 = 107,860.50 : x
2. Step 2: Convert to fraction form
   52,084/107,860.50 = 107,860.50/x
3. Step 3: Cross multiply
   52,084x = 107,860.50 × 107,860.50
4. Step 4: Simplify right side
   52,084x = 11,633,887,460.25
5. Step 5: Solve for x
   x = 11,633,887,460.25/52,084
6. Step 6: Final answer
   x = 223,367.78