Finding the Third Proportional to 109,655 and 164,047

Step by Step Solution

1. Step 1: Write the proportion equation
   109,655 : 164,047 = 164,047 : x
2. Step 2: Convert to fraction form
   109,655/164,047 = 164,047/x
3. Step 3: Cross multiply
   109,655x = 164,047 × 164,047
4. Step 4: Simplify right side
   109,655x = 26,911,418,209
5. Step 5: Solve for x
   x = 26,911,418,209/109,655
6. Step 6: Final answer
   x = 245,418.98