Finding the Third Proportional to 71,737 and 146,389

Step by Step Solution

1. Step 1: Write the proportion equation
   71,737 : 146,389 = 146,389 : x
2. Step 2: Convert to fraction form
   71,737/146,389 = 146,389/x
3. Step 3: Cross multiply
   71,737x = 146,389 × 146,389
4. Step 4: Simplify right side
   71,737x = 21,429,739,321
5. Step 5: Solve for x
   x = 21,429,739,321/71,737
6. Step 6: Final answer
   x = 298,726.45