Finding the Third Proportional to 109,761 and 165,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,761 : 165,507.50 = 165,507.50 : x
2. Step 2: Convert to fraction form
   109,761/165,507.50 = 165,507.50/x
3. Step 3: Cross multiply
   109,761x = 165,507.50 × 165,507.50
4. Step 4: Simplify right side
   109,761x = 27,392,732,556.25
5. Step 5: Solve for x
   x = 27,392,732,556.25/109,761
6. Step 6: Final answer
   x = 249,567.08