Finding the Third Proportional to 53,276 and 111,654

Step by Step Solution

1. Step 1: Write the proportion equation
   53,276 : 111,654 = 111,654 : x
2. Step 2: Convert to fraction form
   53,276/111,654 = 111,654/x
3. Step 3: Cross multiply
   53,276x = 111,654 × 111,654
4. Step 4: Simplify right side
   53,276x = 12,466,615,716
5. Step 5: Solve for x
   x = 12,466,615,716/53,276
6. Step 6: Final answer
   x = 234,000.60