Finding the Third Proportional to 108,001 and 152,023

Step by Step Solution

1. Step 1: Write the proportion equation
   108,001 : 152,023 = 152,023 : x
2. Step 2: Convert to fraction form
   108,001/152,023 = 152,023/x
3. Step 3: Cross multiply
   108,001x = 152,023 × 152,023
4. Step 4: Simplify right side
   108,001x = 23,110,992,529
5. Step 5: Solve for x
   x = 23,110,992,529/108,001
6. Step 6: Final answer
   x = 213,988.69