Finding the Third Proportional to 71,758 and 146,436

Step by Step Solution

1. Step 1: Write the proportion equation
   71,758 : 146,436 = 146,436 : x
2. Step 2: Convert to fraction form
   71,758/146,436 = 146,436/x
3. Step 3: Cross multiply
   71,758x = 146,436 × 146,436
4. Step 4: Simplify right side
   71,758x = 21,443,502,096
5. Step 5: Solve for x
   x = 21,443,502,096/71,758
6. Step 6: Final answer
   x = 298,830.82