Finding the Third Proportional to 53,767 and 116,735

Step by Step Solution

1. Step 1: Write the proportion equation
   53,767 : 116,735 = 116,735 : x
2. Step 2: Convert to fraction form
   53,767/116,735 = 116,735/x
3. Step 3: Cross multiply
   53,767x = 116,735 × 116,735
4. Step 4: Simplify right side
   53,767x = 13,627,060,225
5. Step 5: Solve for x
   x = 13,627,060,225/53,767
6. Step 6: Final answer
   x = 253,446.54