Finding the Third Proportional to 53,056 and 109,472

Step by Step Solution

1. Step 1: Write the proportion equation
   53,056 : 109,472 = 109,472 : x
2. Step 2: Convert to fraction form
   53,056/109,472 = 109,472/x
3. Step 3: Cross multiply
   53,056x = 109,472 × 109,472
4. Step 4: Simplify right side
   53,056x = 11,984,118,784
5. Step 5: Solve for x
   x = 11,984,118,784/53,056
6. Step 6: Final answer
   x = 225,876.79