Finding the Third Proportional to 222,606 and 456,147

Step by Step Solution

1. Step 1: Write the proportion equation
   222,606 : 456,147 = 456,147 : x
2. Step 2: Convert to fraction form
   222,606/456,147 = 456,147/x
3. Step 3: Cross multiply
   222,606x = 456,147 × 456,147
4. Step 4: Simplify right side
   222,606x = 208,070,085,609
5. Step 5: Solve for x
   x = 208,070,085,609/222,606
6. Step 6: Final answer
   x = 934,701.16