Finding the Third Proportional to 65,883 and 141,774

Step by Step Solution

1. Step 1: Write the proportion equation
   65,883 : 141,774 = 141,774 : x
2. Step 2: Convert to fraction form
   65,883/141,774 = 141,774/x
3. Step 3: Cross multiply
   65,883x = 141,774 × 141,774
4. Step 4: Simplify right side
   65,883x = 20,099,867,076
5. Step 5: Solve for x
   x = 20,099,867,076/65,883
6. Step 6: Final answer
   x = 305,084.27