Finding the Third Proportional to 109,842 and 164,385

Step by Step Solution

1. Step 1: Write the proportion equation
   109,842 : 164,385 = 164,385 : x
2. Step 2: Convert to fraction form
   109,842/164,385 = 164,385/x
3. Step 3: Cross multiply
   109,842x = 164,385 × 164,385
4. Step 4: Simplify right side
   109,842x = 27,022,428,225
5. Step 5: Solve for x
   x = 27,022,428,225/109,842
6. Step 6: Final answer
   x = 246,011.80