Finding the Third Proportional to 63,569 and 138,109

Step by Step Solution

1. Step 1: Write the proportion equation
   63,569 : 138,109 = 138,109 : x
2. Step 2: Convert to fraction form
   63,569/138,109 = 138,109/x
3. Step 3: Cross multiply
   63,569x = 138,109 × 138,109
4. Step 4: Simplify right side
   63,569x = 19,074,095,881
5. Step 5: Solve for x
   x = 19,074,095,881/63,569
6. Step 6: Final answer
   x = 300,053.42