Finding the Third Proportional to 109,499 and 166,304.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,499 : 166,304.50 = 166,304.50 : x
2. Step 2: Convert to fraction form
   109,499/166,304.50 = 166,304.50/x
3. Step 3: Cross multiply
   109,499x = 166,304.50 × 166,304.50
4. Step 4: Simplify right side
   109,499x = 27,657,186,720.25
5. Step 5: Solve for x
   x = 27,657,186,720.25/109,499
6. Step 6: Final answer
   x = 252,579.35