Finding the Third Proportional to 138,097 and 300,798

Step by Step Solution

1. Step 1: Write the proportion equation
   138,097 : 300,798 = 300,798 : x
2. Step 2: Convert to fraction form
   138,097/300,798 = 300,798/x
3. Step 3: Cross multiply
   138,097x = 300,798 × 300,798
4. Step 4: Simplify right side
   138,097x = 90,479,436,804
5. Step 5: Solve for x
   x = 90,479,436,804/138,097
6. Step 6: Final answer
   x = 655,187.56