Finding the Third Proportional to 53,812 and 114,216

Step by Step Solution

1. Step 1: Write the proportion equation
   53,812 : 114,216 = 114,216 : x
2. Step 2: Convert to fraction form
   53,812/114,216 = 114,216/x
3. Step 3: Cross multiply
   53,812x = 114,216 × 114,216
4. Step 4: Simplify right side
   53,812x = 13,045,294,656
5. Step 5: Solve for x
   x = 13,045,294,656/53,812
6. Step 6: Final answer
   x = 242,423.52