Finding the Third Proportional to 100,996 and 156,817.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,996 : 156,817.50 = 156,817.50 : x
2. Step 2: Convert to fraction form
   100,996/156,817.50 = 156,817.50/x
3. Step 3: Cross multiply
   100,996x = 156,817.50 × 156,817.50
4. Step 4: Simplify right side
   100,996x = 24,591,728,306.25
5. Step 5: Solve for x
   x = 24,591,728,306.25/100,996
6. Step 6: Final answer
   x = 243,492.10