Finding the Third Proportional to 109,413 and 165,253.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,413 : 165,253.50 = 165,253.50 : x
2. Step 2: Convert to fraction form
   109,413/165,253.50 = 165,253.50/x
3. Step 3: Cross multiply
   109,413x = 165,253.50 × 165,253.50
4. Step 4: Simplify right side
   109,413x = 27,308,719,262.25
5. Step 5: Solve for x
   x = 27,308,719,262.25/109,413
6. Step 6: Final answer
   x = 249,593.00