Finding the Third Proportional to 109,798 and 149,144

Step by Step Solution

1. Step 1: Write the proportion equation
   109,798 : 149,144 = 149,144 : x
2. Step 2: Convert to fraction form
   109,798/149,144 = 149,144/x
3. Step 3: Cross multiply
   109,798x = 149,144 × 149,144
4. Step 4: Simplify right side
   109,798x = 22,243,932,736
5. Step 5: Solve for x
   x = 22,243,932,736/109,798
6. Step 6: Final answer
   x = 202,589.60