Finding the Third Proportional to 61,549 and 100,494

Step by Step Solution

1. Step 1: Write the proportion equation
   61,549 : 100,494 = 100,494 : x
2. Step 2: Convert to fraction form
   61,549/100,494 = 100,494/x
3. Step 3: Cross multiply
   61,549x = 100,494 × 100,494
4. Step 4: Simplify right side
   61,549x = 10,099,044,036
5. Step 5: Solve for x
   x = 10,099,044,036/61,549
6. Step 6: Final answer
   x = 164,081.37