Finding the Third Proportional to 73,706 and 173,264

Step by Step Solution

1. Step 1: Write the proportion equation
   73,706 : 173,264 = 173,264 : x
2. Step 2: Convert to fraction form
   73,706/173,264 = 173,264/x
3. Step 3: Cross multiply
   73,706x = 173,264 × 173,264
4. Step 4: Simplify right side
   73,706x = 30,020,413,696
5. Step 5: Solve for x
   x = 30,020,413,696/73,706
6. Step 6: Final answer
   x = 407,299.46