Finding the Third Proportional to 156,566 and 209,736

Step by Step Solution

1. Step 1: Write the proportion equation
   156,566 : 209,736 = 209,736 : x
2. Step 2: Convert to fraction form
   156,566/209,736 = 209,736/x
3. Step 3: Cross multiply
   156,566x = 209,736 × 209,736
4. Step 4: Simplify right side
   156,566x = 43,989,189,696
5. Step 5: Solve for x
   x = 43,989,189,696/156,566
6. Step 6: Final answer
   x = 280,962.60