Finding the Third Proportional to 139,326 and 209,295

Step by Step Solution

1. Step 1: Write the proportion equation
   139,326 : 209,295 = 209,295 : x
2. Step 2: Convert to fraction form
   139,326/209,295 = 209,295/x
3. Step 3: Cross multiply
   139,326x = 209,295 × 209,295
4. Step 4: Simplify right side
   139,326x = 43,804,397,025
5. Step 5: Solve for x
   x = 43,804,397,025/139,326
6. Step 6: Final answer
   x = 314,402.17