Finding the Third Proportional to 51,964 and 114,520

Step by Step Solution

1. Step 1: Write the proportion equation
   51,964 : 114,520 = 114,520 : x
2. Step 2: Convert to fraction form
   51,964/114,520 = 114,520/x
3. Step 3: Cross multiply
   51,964x = 114,520 × 114,520
4. Step 4: Simplify right side
   51,964x = 13,114,830,400
5. Step 5: Solve for x
   x = 13,114,830,400/51,964
6. Step 6: Final answer
   x = 252,383.00