Finding the Third Proportional to 83,856 and 183,264

Step by Step Solution

1. Step 1: Write the proportion equation
   83,856 : 183,264 = 183,264 : x
2. Step 2: Convert to fraction form
   83,856/183,264 = 183,264/x
3. Step 3: Cross multiply
   83,856x = 183,264 × 183,264
4. Step 4: Simplify right side
   83,856x = 33,585,693,696
5. Step 5: Solve for x
   x = 33,585,693,696/83,856
6. Step 6: Final answer
   x = 400,516.29