Finding the Third Proportional to 52,002 and 111,354.75

Step by Step Solution

1. Step 1: Write the proportion equation
   52,002 : 111,354.75 = 111,354.75 : x
2. Step 2: Convert to fraction form
   52,002/111,354.75 = 111,354.75/x
3. Step 3: Cross multiply
   52,002x = 111,354.75 × 111,354.75
4. Step 4: Simplify right side
   52,002x = 12,399,880,347.56
5. Step 5: Solve for x
   x = 12,399,880,347.56/52,002
6. Step 6: Final answer
   x = 238,450.07