Finding the Third Proportional to 59,314 and 120,996

Step by Step Solution

1. Step 1: Write the proportion equation
   59,314 : 120,996 = 120,996 : x
2. Step 2: Convert to fraction form
   59,314/120,996 = 120,996/x
3. Step 3: Cross multiply
   59,314x = 120,996 × 120,996
4. Step 4: Simplify right side
   59,314x = 14,640,032,016
5. Step 5: Solve for x
   x = 14,640,032,016/59,314
6. Step 6: Final answer
   x = 246,822.54