Finding the Third Proportional to 191,979 and 258,443

Step by Step Solution

1. Step 1: Write the proportion equation
   191,979 : 258,443 = 258,443 : x
2. Step 2: Convert to fraction form
   191,979/258,443 = 258,443/x
3. Step 3: Cross multiply
   191,979x = 258,443 × 258,443
4. Step 4: Simplify right side
   191,979x = 66,792,784,249
5. Step 5: Solve for x
   x = 66,792,784,249/191,979
6. Step 6: Final answer
   x = 347,917.14