Finding the Third Proportional to 101,868 and 152,995

Step by Step Solution

1. Step 1: Write the proportion equation
   101,868 : 152,995 = 152,995 : x
2. Step 2: Convert to fraction form
   101,868/152,995 = 152,995/x
3. Step 3: Cross multiply
   101,868x = 152,995 × 152,995
4. Step 4: Simplify right side
   101,868x = 23,407,470,025
5. Step 5: Solve for x
   x = 23,407,470,025/101,868
6. Step 6: Final answer
   x = 229,782.37