Finding the Third Proportional to 71,967 and 146,796

Step by Step Solution

1. Step 1: Write the proportion equation
   71,967 : 146,796 = 146,796 : x
2. Step 2: Convert to fraction form
   71,967/146,796 = 146,796/x
3. Step 3: Cross multiply
   71,967x = 146,796 × 146,796
4. Step 4: Simplify right side
   71,967x = 21,549,065,616
5. Step 5: Solve for x
   x = 21,549,065,616/71,967
6. Step 6: Final answer
   x = 299,429.82