Finding the Third Proportional to 72,206 and 107,710

Step by Step Solution

1. Step 1: Write the proportion equation
   72,206 : 107,710 = 107,710 : x
2. Step 2: Convert to fraction form
   72,206/107,710 = 107,710/x
3. Step 3: Cross multiply
   72,206x = 107,710 × 107,710
4. Step 4: Simplify right side
   72,206x = 11,601,444,100
5. Step 5: Solve for x
   x = 11,601,444,100/72,206
6. Step 6: Final answer
   x = 160,671.47