Finding the Third Proportional to 101,643 and 222,915

Step by Step Solution

1. Step 1: Write the proportion equation
   101,643 : 222,915 = 222,915 : x
2. Step 2: Convert to fraction form
   101,643/222,915 = 222,915/x
3. Step 3: Cross multiply
   101,643x = 222,915 × 222,915
4. Step 4: Simplify right side
   101,643x = 49,691,097,225
5. Step 5: Solve for x
   x = 49,691,097,225/101,643
6. Step 6: Final answer
   x = 488,878.70