Finding the Third Proportional to 69,774 and 146,960

Step by Step Solution

1. Step 1: Write the proportion equation
   69,774 : 146,960 = 146,960 : x
2. Step 2: Convert to fraction form
   69,774/146,960 = 146,960/x
3. Step 3: Cross multiply
   69,774x = 146,960 × 146,960
4. Step 4: Simplify right side
   69,774x = 21,597,241,600
5. Step 5: Solve for x
   x = 21,597,241,600/69,774
6. Step 6: Final answer
   x = 309,531.37