Finding the Third Proportional to 152,971 and 331,361

Step by Step Solution

1. Step 1: Write the proportion equation
   152,971 : 331,361 = 331,361 : x
2. Step 2: Convert to fraction form
   152,971/331,361 = 331,361/x
3. Step 3: Cross multiply
   152,971x = 331,361 × 331,361
4. Step 4: Simplify right side
   152,971x = 109,800,112,321
5. Step 5: Solve for x
   x = 109,800,112,321/152,971
6. Step 6: Final answer
   x = 717,783.84