Finding the Third Proportional to 101,806 and 152,721

Step by Step Solution

1. Step 1: Write the proportion equation
   101,806 : 152,721 = 152,721 : x
2. Step 2: Convert to fraction form
   101,806/152,721 = 152,721/x
3. Step 3: Cross multiply
   101,806x = 152,721 × 152,721
4. Step 4: Simplify right side
   101,806x = 23,323,703,841
5. Step 5: Solve for x
   x = 23,323,703,841/101,806
6. Step 6: Final answer
   x = 229,099.50