Finding the Third Proportional to 83,648 and 171,376

Step by Step Solution

1. Step 1: Write the proportion equation
   83,648 : 171,376 = 171,376 : x
2. Step 2: Convert to fraction form
   83,648/171,376 = 171,376/x
3. Step 3: Cross multiply
   83,648x = 171,376 × 171,376
4. Step 4: Simplify right side
   83,648x = 29,369,733,376
5. Step 5: Solve for x
   x = 29,369,733,376/83,648
6. Step 6: Final answer
   x = 351,111.01