Finding the Third Proportional to 52,196 and 113,769

Step by Step Solution

1. Step 1: Write the proportion equation
   52,196 : 113,769 = 113,769 : x
2. Step 2: Convert to fraction form
   52,196/113,769 = 113,769/x
3. Step 3: Cross multiply
   52,196x = 113,769 × 113,769
4. Step 4: Simplify right side
   52,196x = 12,943,385,361
5. Step 5: Solve for x
   x = 12,943,385,361/52,196
6. Step 6: Final answer
   x = 247,976.58