Finding the Third Proportional to 105,378 and 158,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,378 : 158,071.50 = 158,071.50 : x
2. Step 2: Convert to fraction form
   105,378/158,071.50 = 158,071.50/x
3. Step 3: Cross multiply
   105,378x = 158,071.50 × 158,071.50
4. Step 4: Simplify right side
   105,378x = 24,986,599,112.25
5. Step 5: Solve for x
   x = 24,986,599,112.25/105,378
6. Step 6: Final answer
   x = 237,114.00