Finding the Third Proportional to 101,610 and 161,025.75

Step by Step Solution

1. Step 1: Write the proportion equation
   101,610 : 161,025.75 = 161,025.75 : x
2. Step 2: Convert to fraction form
   101,610/161,025.75 = 161,025.75/x
3. Step 3: Cross multiply
   101,610x = 161,025.75 × 161,025.75
4. Step 4: Simplify right side
   101,610x = 25,929,292,163.06
5. Step 5: Solve for x
   x = 25,929,292,163.06/101,610
6. Step 6: Final answer
   x = 255,184.45