Finding the Third Proportional to 152,963 and 215,021

Step by Step Solution

1. Step 1: Write the proportion equation
   152,963 : 215,021 = 215,021 : x
2. Step 2: Convert to fraction form
   152,963/215,021 = 215,021/x
3. Step 3: Cross multiply
   152,963x = 215,021 × 215,021
4. Step 4: Simplify right side
   152,963x = 46,234,030,441
5. Step 5: Solve for x
   x = 46,234,030,441/152,963
6. Step 6: Final answer
   x = 302,256.30