Finding the Third Proportional to 83,018 and 183,480.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,018 : 183,480.50 = 183,480.50 : x
2. Step 2: Convert to fraction form
   83,018/183,480.50 = 183,480.50/x
3. Step 3: Cross multiply
   83,018x = 183,480.50 × 183,480.50
4. Step 4: Simplify right side
   83,018x = 33,665,093,880.25
5. Step 5: Solve for x
   x = 33,665,093,880.25/83,018
6. Step 6: Final answer
   x = 405,515.60