Finding the Third Proportional to 109,430 and 164,144

Step by Step Solution

1. Step 1: Write the proportion equation
   109,430 : 164,144 = 164,144 : x
2. Step 2: Convert to fraction form
   109,430/164,144 = 164,144/x
3. Step 3: Cross multiply
   109,430x = 164,144 × 164,144
4. Step 4: Simplify right side
   109,430x = 26,943,252,736
5. Step 5: Solve for x
   x = 26,943,252,736/109,430
6. Step 6: Final answer
   x = 246,214.50