Finding the Third Proportional to 74,857.50 and 109,494

Step by Step Solution

1. Step 1: Write the proportion equation
   74,857.50 : 109,494 = 109,494 : x
2. Step 2: Convert to fraction form
   74,857.50/109,494 = 109,494/x
3. Step 3: Cross multiply
   74,857.50x = 109,494 × 109,494
4. Step 4: Simplify right side
   74,857.50x = 11,988,936,036
5. Step 5: Solve for x
   x = 11,988,936,036/74,857.50
6. Step 6: Final answer
   x = 160,156.78