Finding the Third Proportional to 83,714 and 183,172

Step by Step Solution

1. Step 1: Write the proportion equation
   83,714 : 183,172 = 183,172 : x
2. Step 2: Convert to fraction form
   83,714/183,172 = 183,172/x
3. Step 3: Cross multiply
   83,714x = 183,172 × 183,172
4. Step 4: Simplify right side
   83,714x = 33,551,981,584
5. Step 5: Solve for x
   x = 33,551,981,584/83,714
6. Step 6: Final answer
   x = 400,792.96