Finding the Third Proportional to 137,664 and 209,196

Step by Step Solution

1. Step 1: Write the proportion equation
   137,664 : 209,196 = 209,196 : x
2. Step 2: Convert to fraction form
   137,664/209,196 = 209,196/x
3. Step 3: Cross multiply
   137,664x = 209,196 × 209,196
4. Step 4: Simplify right side
   137,664x = 43,762,966,416
5. Step 5: Solve for x
   x = 43,762,966,416/137,664
6. Step 6: Final answer
   x = 317,896.96