Finding the Third Proportional to 52,005 and 106,474.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,005 : 106,474.50 = 106,474.50 : x
2. Step 2: Convert to fraction form
   52,005/106,474.50 = 106,474.50/x
3. Step 3: Cross multiply
   52,005x = 106,474.50 × 106,474.50
4. Step 4: Simplify right side
   52,005x = 11,336,819,150.25
5. Step 5: Solve for x
   x = 11,336,819,150.25/52,005
6. Step 6: Final answer
   x = 217,994.79