Finding the Third Proportional to 100,808 and 152,022

Step by Step Solution

1. Step 1: Write the proportion equation
   100,808 : 152,022 = 152,022 : x
2. Step 2: Convert to fraction form
   100,808/152,022 = 152,022/x
3. Step 3: Cross multiply
   100,808x = 152,022 × 152,022
4. Step 4: Simplify right side
   100,808x = 23,110,688,484
5. Step 5: Solve for x
   x = 23,110,688,484/100,808
6. Step 6: Final answer
   x = 229,254.51