Finding the Third Proportional to 53,643 and 114,216

Step by Step Solution

1. Step 1: Write the proportion equation
   53,643 : 114,216 = 114,216 : x
2. Step 2: Convert to fraction form
   53,643/114,216 = 114,216/x
3. Step 3: Cross multiply
   53,643x = 114,216 × 114,216
4. Step 4: Simplify right side
   53,643x = 13,045,294,656
5. Step 5: Solve for x
   x = 13,045,294,656/53,643
6. Step 6: Final answer
   x = 243,187.27