Finding the Third Proportional to 63,866 and 137,210

Step by Step Solution

1. Step 1: Write the proportion equation
   63,866 : 137,210 = 137,210 : x
2. Step 2: Convert to fraction form
   63,866/137,210 = 137,210/x
3. Step 3: Cross multiply
   63,866x = 137,210 × 137,210
4. Step 4: Simplify right side
   63,866x = 18,826,584,100
5. Step 5: Solve for x
   x = 18,826,584,100/63,866
6. Step 6: Final answer
   x = 294,782.58