Finding the Third Proportional to 105,223.50 and 156,983.63

Step by Step Solution

1. Step 1: Write the proportion equation
   105,223.50 : 156,983.63 = 156,983.63 : x
2. Step 2: Convert to fraction form
   105,223.50/156,983.63 = 156,983.63/x
3. Step 3: Cross multiply
   105,223.50x = 156,983.63 × 156,983.63
4. Step 4: Simplify right side
   105,223.50x = 24,643,858,518.14
5. Step 5: Solve for x
   x = 24,643,858,518.14/105,223.50
6. Step 6: Final answer
   x = 234,204.89