Finding the Third Proportional to 101,816 and 152,916

Step by Step Solution

1. Step 1: Write the proportion equation
   101,816 : 152,916 = 152,916 : x
2. Step 2: Convert to fraction form
   101,816/152,916 = 152,916/x
3. Step 3: Cross multiply
   101,816x = 152,916 × 152,916
4. Step 4: Simplify right side
   101,816x = 23,383,303,056
5. Step 5: Solve for x
   x = 23,383,303,056/101,816
6. Step 6: Final answer
   x = 229,662.36