Finding the Third Proportional to 83,714 and 180,706

Step by Step Solution

1. Step 1: Write the proportion equation
   83,714 : 180,706 = 180,706 : x
2. Step 2: Convert to fraction form
   83,714/180,706 = 180,706/x
3. Step 3: Cross multiply
   83,714x = 180,706 × 180,706
4. Step 4: Simplify right side
   83,714x = 32,654,658,436
5. Step 5: Solve for x
   x = 32,654,658,436/83,714
6. Step 6: Final answer
   x = 390,074.04