Finding the Third Proportional to 100,808.50 and 152,023

Step by Step Solution

1. Step 1: Write the proportion equation
   100,808.50 : 152,023 = 152,023 : x
2. Step 2: Convert to fraction form
   100,808.50/152,023 = 152,023/x
3. Step 3: Cross multiply
   100,808.50x = 152,023 × 152,023
4. Step 4: Simplify right side
   100,808.50x = 23,110,992,529
5. Step 5: Solve for x
   x = 23,110,992,529/100,808.50
6. Step 6: Final answer
   x = 229,256.39