Finding the Third Proportional to 52,821 and 114,453

Step by Step Solution

1. Step 1: Write the proportion equation
   52,821 : 114,453 = 114,453 : x
2. Step 2: Convert to fraction form
   52,821/114,453 = 114,453/x
3. Step 3: Cross multiply
   52,821x = 114,453 × 114,453
4. Step 4: Simplify right side
   52,821x = 13,099,489,209
5. Step 5: Solve for x
   x = 13,099,489,209/52,821
6. Step 6: Final answer
   x = 247,997.75