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

Step by Step Solution

1. Step 1: Write the proportion equation
   156,947 : 322,156 = 322,156 : x
2. Step 2: Convert to fraction form
   156,947/322,156 = 322,156/x
3. Step 3: Cross multiply
   156,947x = 322,156 × 322,156
4. Step 4: Simplify right side
   156,947x = 103,784,488,336
5. Step 5: Solve for x
   x = 103,784,488,336/156,947
6. Step 6: Final answer
   x = 661,270.93