Finding the Third Proportional to 53,426 and 114,264

Step by Step Solution

1. Step 1: Write the proportion equation
   53,426 : 114,264 = 114,264 : x
2. Step 2: Convert to fraction form
   53,426/114,264 = 114,264/x
3. Step 3: Cross multiply
   53,426x = 114,264 × 114,264
4. Step 4: Simplify right side
   53,426x = 13,056,261,696
5. Step 5: Solve for x
   x = 13,056,261,696/53,426
6. Step 6: Final answer
   x = 244,380.30