Finding the Third Proportional to 83,264 and 183,496

Step by Step Solution

1. Step 1: Write the proportion equation
   83,264 : 183,496 = 183,496 : x
2. Step 2: Convert to fraction form
   83,264/183,496 = 183,496/x
3. Step 3: Cross multiply
   83,264x = 183,496 × 183,496
4. Step 4: Simplify right side
   83,264x = 33,670,782,016
5. Step 5: Solve for x
   x = 33,670,782,016/83,264
6. Step 6: Final answer
   x = 404,385.83