Finding the Third Proportional to 83,563 and 183,662

Step by Step Solution

1. Step 1: Write the proportion equation
   83,563 : 183,662 = 183,662 : x
2. Step 2: Convert to fraction form
   83,563/183,662 = 183,662/x
3. Step 3: Cross multiply
   83,563x = 183,662 × 183,662
4. Step 4: Simplify right side
   83,563x = 33,731,730,244
5. Step 5: Solve for x
   x = 33,731,730,244/83,563
6. Step 6: Final answer
   x = 403,668.25