Finding the Third Proportional to 144,969 and 158,111

Step by Step Solution

1. Step 1: Write the proportion equation
   144,969 : 158,111 = 158,111 : x
2. Step 2: Convert to fraction form
   144,969/158,111 = 158,111/x
3. Step 3: Cross multiply
   144,969x = 158,111 × 158,111
4. Step 4: Simplify right side
   144,969x = 24,999,088,321
5. Step 5: Solve for x
   x = 24,999,088,321/144,969
6. Step 6: Final answer
   x = 172,444.37