Finding the Third Proportional to 52,563 and 107,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,563 : 107,578.50 = 107,578.50 : x
2. Step 2: Convert to fraction form
   52,563/107,578.50 = 107,578.50/x
3. Step 3: Cross multiply
   52,563x = 107,578.50 × 107,578.50
4. Step 4: Simplify right side
   52,563x = 11,573,133,662.25
5. Step 5: Solve for x
   x = 11,573,133,662.25/52,563
6. Step 6: Final answer
   x = 220,176.43