Finding the Third Proportional to 110,762 and 171,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,762 : 171,826.50 = 171,826.50 : x
2. Step 2: Convert to fraction form
   110,762/171,826.50 = 171,826.50/x
3. Step 3: Cross multiply
   110,762x = 171,826.50 × 171,826.50
4. Step 4: Simplify right side
   110,762x = 29,524,346,102.25
5. Step 5: Solve for x
   x = 29,524,346,102.25/110,762
6. Step 6: Final answer
   x = 266,556.64