Finding the Third Proportional to 61,839 and 131,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,839 : 131,674.50 = 131,674.50 : x
2. Step 2: Convert to fraction form
   61,839/131,674.50 = 131,674.50/x
3. Step 3: Cross multiply
   61,839x = 131,674.50 × 131,674.50
4. Step 4: Simplify right side
   61,839x = 17,338,173,950.25
5. Step 5: Solve for x
   x = 17,338,173,950.25/61,839
6. Step 6: Final answer
   x = 280,376.04