Finding the Third Proportional to 83,485 and 185,631

Step by Step Solution

1. Step 1: Write the proportion equation
   83,485 : 185,631 = 185,631 : x
2. Step 2: Convert to fraction form
   83,485/185,631 = 185,631/x
3. Step 3: Cross multiply
   83,485x = 185,631 × 185,631
4. Step 4: Simplify right side
   83,485x = 34,458,868,161
5. Step 5: Solve for x
   x = 34,458,868,161/83,485
6. Step 6: Final answer
   x = 412,755.20