Finding the Third Proportional to 105,007.50 and 158,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,007.50 : 158,368.50 = 158,368.50 : x
2. Step 2: Convert to fraction form
   105,007.50/158,368.50 = 158,368.50/x
3. Step 3: Cross multiply
   105,007.50x = 158,368.50 × 158,368.50
4. Step 4: Simplify right side
   105,007.50x = 25,080,581,792.25
5. Step 5: Solve for x
   x = 25,080,581,792.25/105,007.50
6. Step 6: Final answer
   x = 238,845.62