Finding the Third Proportional to 105,022.13 and 156,847.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,022.13 : 156,847.50 = 156,847.50 : x
2. Step 2: Convert to fraction form
   105,022.13/156,847.50 = 156,847.50/x
3. Step 3: Cross multiply
   105,022.13x = 156,847.50 × 156,847.50
4. Step 4: Simplify right side
   105,022.13x = 24,601,138,256.25
5. Step 5: Solve for x
   x = 24,601,138,256.25/105,022.13
6. Step 6: Final answer
   x = 234,247.20