Finding the Third Proportional to 53,646 and 114,680

Step by Step Solution

1. Step 1: Write the proportion equation
   53,646 : 114,680 = 114,680 : x
2. Step 2: Convert to fraction form
   53,646/114,680 = 114,680/x
3. Step 3: Cross multiply
   53,646x = 114,680 × 114,680
4. Step 4: Simplify right side
   53,646x = 13,151,502,400
5. Step 5: Solve for x
   x = 13,151,502,400/53,646
6. Step 6: Final answer
   x = 245,153.46