Finding the Third Proportional to 72,906 and 156,665

Step by Step Solution

1. Step 1: Write the proportion equation
   72,906 : 156,665 = 156,665 : x
2. Step 2: Convert to fraction form
   72,906/156,665 = 156,665/x
3. Step 3: Cross multiply
   72,906x = 156,665 × 156,665
4. Step 4: Simplify right side
   72,906x = 24,543,922,225
5. Step 5: Solve for x
   x = 24,543,922,225/72,906
6. Step 6: Final answer
   x = 336,651.61