Finding the Third Proportional to 53,288 and 108,070

Step by Step Solution

1. Step 1: Write the proportion equation
   53,288 : 108,070 = 108,070 : x
2. Step 2: Convert to fraction form
   53,288/108,070 = 108,070/x
3. Step 3: Cross multiply
   53,288x = 108,070 × 108,070
4. Step 4: Simplify right side
   53,288x = 11,679,124,900
5. Step 5: Solve for x
   x = 11,679,124,900/53,288
6. Step 6: Final answer
   x = 219,169.89