Finding the Third Proportional to 52,002 and 108,002.81

Step by Step Solution

1. Step 1: Write the proportion equation
   52,002 : 108,002.81 = 108,002.81 : x
2. Step 2: Convert to fraction form
   52,002/108,002.81 = 108,002.81/x
3. Step 3: Cross multiply
   52,002x = 108,002.81 × 108,002.81
4. Step 4: Simplify right side
   52,002x = 11,664,607,507.91
5. Step 5: Solve for x
   x = 11,664,607,507.91/52,002
6. Step 6: Final answer
   x = 224,310.75