Finding the Third Proportional to 138,526 and 300,697

Step by Step Solution

1. Step 1: Write the proportion equation
   138,526 : 300,697 = 300,697 : x
2. Step 2: Convert to fraction form
   138,526/300,697 = 300,697/x
3. Step 3: Cross multiply
   138,526x = 300,697 × 300,697
4. Step 4: Simplify right side
   138,526x = 90,418,685,809
5. Step 5: Solve for x
   x = 90,418,685,809/138,526
6. Step 6: Final answer
   x = 652,719.96