Finding the Third Proportional to 101,413 and 161,034.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,413 : 161,034.50 = 161,034.50 : x
2. Step 2: Convert to fraction form
   101,413/161,034.50 = 161,034.50/x
3. Step 3: Cross multiply
   101,413x = 161,034.50 × 161,034.50
4. Step 4: Simplify right side
   101,413x = 25,932,110,190.25
5. Step 5: Solve for x
   x = 25,932,110,190.25/101,413
6. Step 6: Final answer
   x = 255,707.95