Finding the Third Proportional to 152,421 and 205,608

Step by Step Solution

1. Step 1: Write the proportion equation
   152,421 : 205,608 = 205,608 : x
2. Step 2: Convert to fraction form
   152,421/205,608 = 205,608/x
3. Step 3: Cross multiply
   152,421x = 205,608 × 205,608
4. Step 4: Simplify right side
   152,421x = 42,274,649,664
5. Step 5: Solve for x
   x = 42,274,649,664/152,421
6. Step 6: Final answer
   x = 277,354.50