Finding the Third Proportional to 52,004 and 108,007

Step by Step Solution

1. Step 1: Write the proportion equation
   52,004 : 108,007 = 108,007 : x
2. Step 2: Convert to fraction form
   52,004/108,007 = 108,007/x
3. Step 3: Cross multiply
   52,004x = 108,007 × 108,007
4. Step 4: Simplify right side
   52,004x = 11,665,512,049
5. Step 5: Solve for x
   x = 11,665,512,049/52,004
6. Step 6: Final answer
   x = 224,319.51