Finding the Third Proportional to 156,747 and 204,196

Step by Step Solution

1. Step 1: Write the proportion equation
   156,747 : 204,196 = 204,196 : x
2. Step 2: Convert to fraction form
   156,747/204,196 = 204,196/x
3. Step 3: Cross multiply
   156,747x = 204,196 × 204,196
4. Step 4: Simplify right side
   156,747x = 41,696,006,416
5. Step 5: Solve for x
   x = 41,696,006,416/156,747
6. Step 6: Final answer
   x = 266,008.32