Finding the Third Proportional to 83,714 and 119,321

Step by Step Solution

1. Step 1: Write the proportion equation
   83,714 : 119,321 = 119,321 : x
2. Step 2: Convert to fraction form
   83,714/119,321 = 119,321/x
3. Step 3: Cross multiply
   83,714x = 119,321 × 119,321
4. Step 4: Simplify right side
   83,714x = 14,237,501,041
5. Step 5: Solve for x
   x = 14,237,501,041/83,714
6. Step 6: Final answer
   x = 170,073.12