Finding the Third Proportional to 156,522 and 209,688

Step by Step Solution

1. Step 1: Write the proportion equation
   156,522 : 209,688 = 209,688 : x
2. Step 2: Convert to fraction form
   156,522/209,688 = 209,688/x
3. Step 3: Cross multiply
   156,522x = 209,688 × 209,688
4. Step 4: Simplify right side
   156,522x = 43,969,057,344
5. Step 5: Solve for x
   x = 43,969,057,344/156,522
6. Step 6: Final answer
   x = 280,912.95