Finding the Third Proportional to 152,980 and 215,049

Step by Step Solution

1. Step 1: Write the proportion equation
   152,980 : 215,049 = 215,049 : x
2. Step 2: Convert to fraction form
   152,980/215,049 = 215,049/x
3. Step 3: Cross multiply
   152,980x = 215,049 × 215,049
4. Step 4: Simplify right side
   152,980x = 46,246,072,401
5. Step 5: Solve for x
   x = 46,246,072,401/152,980
6. Step 6: Final answer
   x = 302,301.43