Finding the Third Proportional to 222,516 and 493,078

Step by Step Solution

1. Step 1: Write the proportion equation
   222,516 : 493,078 = 493,078 : x
2. Step 2: Convert to fraction form
   222,516/493,078 = 493,078/x
3. Step 3: Cross multiply
   222,516x = 493,078 × 493,078
4. Step 4: Simplify right side
   222,516x = 243,125,914,084
5. Step 5: Solve for x
   x = 243,125,914,084/222,516
6. Step 6: Final answer
   x = 1,092,622.17