Finding the Third Proportional to 52,004 and 111,787.75

Step by Step Solution

1. Step 1: Write the proportion equation
   52,004 : 111,787.75 = 111,787.75 : x
2. Step 2: Convert to fraction form
   52,004/111,787.75 = 111,787.75/x
3. Step 3: Cross multiply
   52,004x = 111,787.75 × 111,787.75
4. Step 4: Simplify right side
   52,004x = 12,496,501,050.06
5. Step 5: Solve for x
   x = 12,496,501,050.06/52,004
6. Step 6: Final answer
   x = 240,298.84