Finding the Third Proportional to 156,946 and 322,162

Step by Step Solution

1. Step 1: Write the proportion equation
   156,946 : 322,162 = 322,162 : x
2. Step 2: Convert to fraction form
   156,946/322,162 = 322,162/x
3. Step 3: Cross multiply
   156,946x = 322,162 × 322,162
4. Step 4: Simplify right side
   156,946x = 103,788,354,244
5. Step 5: Solve for x
   x = 103,788,354,244/156,946
6. Step 6: Final answer
   x = 661,299.77