Finding the Third Proportional to 139,696 and 305,264

Step by Step Solution

1. Step 1: Write the proportion equation
   139,696 : 305,264 = 305,264 : x
2. Step 2: Convert to fraction form
   139,696/305,264 = 305,264/x
3. Step 3: Cross multiply
   139,696x = 305,264 × 305,264
4. Step 4: Simplify right side
   139,696x = 93,186,109,696
5. Step 5: Solve for x
   x = 93,186,109,696/139,696
6. Step 6: Final answer
   x = 667,063.55