Finding the Third Proportional to 105,685.50 and 186,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,685.50 : 186,265.50 = 186,265.50 : x
2. Step 2: Convert to fraction form
   105,685.50/186,265.50 = 186,265.50/x
3. Step 3: Cross multiply
   105,685.50x = 186,265.50 × 186,265.50
4. Step 4: Simplify right side
   105,685.50x = 34,694,836,490.25
5. Step 5: Solve for x
   x = 34,694,836,490.25/105,685.50
6. Step 6: Final answer
   x = 328,283.79