Finding the Third Proportional to 100,936 and 156,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,936 : 156,735.50 = 156,735.50 : x
2. Step 2: Convert to fraction form
   100,936/156,735.50 = 156,735.50/x
3. Step 3: Cross multiply
   100,936x = 156,735.50 × 156,735.50
4. Step 4: Simplify right side
   100,936x = 24,566,016,960.25
5. Step 5: Solve for x
   x = 24,566,016,960.25/100,936
6. Step 6: Final answer
   x = 243,382.11