Finding the Third Proportional to 52,780 and 109,914

Step by Step Solution

1. Step 1: Write the proportion equation
   52,780 : 109,914 = 109,914 : x
2. Step 2: Convert to fraction form
   52,780/109,914 = 109,914/x
3. Step 3: Cross multiply
   52,780x = 109,914 × 109,914
4. Step 4: Simplify right side
   52,780x = 12,081,087,396
5. Step 5: Solve for x
   x = 12,081,087,396/52,780
6. Step 6: Final answer
   x = 228,895.18