Finding the Third Proportional to 52,621 and 111,814

Step by Step Solution

1. Step 1: Write the proportion equation
   52,621 : 111,814 = 111,814 : x
2. Step 2: Convert to fraction form
   52,621/111,814 = 111,814/x
3. Step 3: Cross multiply
   52,621x = 111,814 × 111,814
4. Step 4: Simplify right side
   52,621x = 12,502,370,596
5. Step 5: Solve for x
   x = 12,502,370,596/52,621
6. Step 6: Final answer
   x = 237,592.80