Finding the Third Proportional to 109,566 and 165,533.63

Step by Step Solution

1. Step 1: Write the proportion equation
   109,566 : 165,533.63 = 165,533.63 : x
2. Step 2: Convert to fraction form
   109,566/165,533.63 = 165,533.63/x
3. Step 3: Cross multiply
   109,566x = 165,533.63 × 165,533.63
4. Step 4: Simplify right side
   109,566x = 27,401,381,005.64
5. Step 5: Solve for x
   x = 27,401,381,005.64/109,566
6. Step 6: Final answer
   x = 250,090.18