Finding the Third Proportional to 83,031 and 171,970

Step by Step Solution

1. Step 1: Write the proportion equation
   83,031 : 171,970 = 171,970 : x
2. Step 2: Convert to fraction form
   83,031/171,970 = 171,970/x
3. Step 3: Cross multiply
   83,031x = 171,970 × 171,970
4. Step 4: Simplify right side
   83,031x = 29,573,680,900
5. Step 5: Solve for x
   x = 29,573,680,900/83,031
6. Step 6: Final answer
   x = 356,176.38