Finding the Third Proportional to 52,038 and 109,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,038 : 109,513.50 = 109,513.50 : x
2. Step 2: Convert to fraction form
   52,038/109,513.50 = 109,513.50/x
3. Step 3: Cross multiply
   52,038x = 109,513.50 × 109,513.50
4. Step 4: Simplify right side
   52,038x = 11,993,206,682.25
5. Step 5: Solve for x
   x = 11,993,206,682.25/52,038
6. Step 6: Final answer
   x = 230,470.17