Finding the Third Proportional to 52,002 and 106,468.17

Step by Step Solution

1. Step 1: Write the proportion equation
   52,002 : 106,468.17 = 106,468.17 : x
2. Step 2: Convert to fraction form
   52,002/106,468.17 = 106,468.17/x
3. Step 3: Cross multiply
   52,002x = 106,468.17 × 106,468.17
4. Step 4: Simplify right side
   52,002x = 11,335,471,622.40
5. Step 5: Solve for x
   x = 11,335,471,622.40/52,002
6. Step 6: Final answer
   x = 217,981.45