Finding the Third Proportional to 121,986 and 177,420.38

Step by Step Solution

1. Step 1: Write the proportion equation
   121,986 : 177,420.38 = 177,420.38 : x
2. Step 2: Convert to fraction form
   121,986/177,420.38 = 177,420.38/x
3. Step 3: Cross multiply
   121,986x = 177,420.38 × 177,420.38
4. Step 4: Simplify right side
   121,986x = 31,477,989,465.14
5. Step 5: Solve for x
   x = 31,477,989,465.14/121,986
6. Step 6: Final answer
   x = 258,045.92