Finding the Third Proportional to 105,575.91 and 155,564.30

Step by Step Solution

1. Step 1: Write the proportion equation
   105,575.91 : 155,564.30 = 155,564.30 : x
2. Step 2: Convert to fraction form
   105,575.91/155,564.30 = 155,564.30/x
3. Step 3: Cross multiply
   105,575.91x = 155,564.30 × 155,564.30
4. Step 4: Simplify right side
   105,575.91x = 24,200,250,462.21
5. Step 5: Solve for x
   x = 24,200,250,462.21/105,575.91
6. Step 6: Final answer
   x = 229,221.34