Finding the Third Proportional to 71,226 and 101,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,226 : 101,785.50 = 101,785.50 : x
2. Step 2: Convert to fraction form
   71,226/101,785.50 = 101,785.50/x
3. Step 3: Cross multiply
   71,226x = 101,785.50 × 101,785.50
4. Step 4: Simplify right side
   71,226x = 10,360,288,010.25
5. Step 5: Solve for x
   x = 10,360,288,010.25/71,226
6. Step 6: Final answer
   x = 145,456.55