Finding the Third Proportional to 45,300 and 106,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,300 : 106,588.50 = 106,588.50 : x
2. Step 2: Convert to fraction form
   45,300/106,588.50 = 106,588.50/x
3. Step 3: Cross multiply
   45,300x = 106,588.50 × 106,588.50
4. Step 4: Simplify right side
   45,300x = 11,361,108,332.25
5. Step 5: Solve for x
   x = 11,361,108,332.25/45,300
6. Step 6: Final answer
   x = 250,797.09