Finding the Third Proportional to 71,644 and 146,880

Step by Step Solution

1. Step 1: Write the proportion equation
   71,644 : 146,880 = 146,880 : x
2. Step 2: Convert to fraction form
   71,644/146,880 = 146,880/x
3. Step 3: Cross multiply
   71,644x = 146,880 × 146,880
4. Step 4: Simplify right side
   71,644x = 21,573,734,400
5. Step 5: Solve for x
   x = 21,573,734,400/71,644
6. Step 6: Final answer
   x = 301,124.09