Finding the Third Proportional to 53,871 and 116,346

Step by Step Solution

1. Step 1: Write the proportion equation
   53,871 : 116,346 = 116,346 : x
2. Step 2: Convert to fraction form
   53,871/116,346 = 116,346/x
3. Step 3: Cross multiply
   53,871x = 116,346 × 116,346
4. Step 4: Simplify right side
   53,871x = 13,536,391,716
5. Step 5: Solve for x
   x = 13,536,391,716/53,871
6. Step 6: Final answer
   x = 251,274.19