Finding the Third Proportional to 156,947 and 322,166

Step by Step Solution

1. Step 1: Write the proportion equation
   156,947 : 322,166 = 322,166 : x
2. Step 2: Convert to fraction form
   156,947/322,166 = 322,166/x
3. Step 3: Cross multiply
   156,947x = 322,166 × 322,166
4. Step 4: Simplify right side
   156,947x = 103,790,931,556
5. Step 5: Solve for x
   x = 103,790,931,556/156,947
6. Step 6: Final answer
   x = 661,311.98