Finding the Third Proportional to 72,598 and 108,896

Step by Step Solution

1. Step 1: Write the proportion equation
   72,598 : 108,896 = 108,896 : x
2. Step 2: Convert to fraction form
   72,598/108,896 = 108,896/x
3. Step 3: Cross multiply
   72,598x = 108,896 × 108,896
4. Step 4: Simplify right side
   72,598x = 11,858,338,816
5. Step 5: Solve for x
   x = 11,858,338,816/72,598
6. Step 6: Final answer
   x = 163,342.50