Finding the Third Proportional to 83,538 and 183,616

Step by Step Solution

1. Step 1: Write the proportion equation
   83,538 : 183,616 = 183,616 : x
2. Step 2: Convert to fraction form
   83,538/183,616 = 183,616/x
3. Step 3: Cross multiply
   83,538x = 183,616 × 183,616
4. Step 4: Simplify right side
   83,538x = 33,714,835,456
5. Step 5: Solve for x
   x = 33,714,835,456/83,538
6. Step 6: Final answer
   x = 403,586.82