Finding the Third Proportional to 65,866 and 137,492

Step by Step Solution

1. Step 1: Write the proportion equation
   65,866 : 137,492 = 137,492 : x
2. Step 2: Convert to fraction form
   65,866/137,492 = 137,492/x
3. Step 3: Cross multiply
   65,866x = 137,492 × 137,492
4. Step 4: Simplify right side
   65,866x = 18,904,050,064
5. Step 5: Solve for x
   x = 18,904,050,064/65,866
6. Step 6: Final answer
   x = 287,007.71