Finding the Third Proportional to 106,953 and 165,532.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,953 : 165,532.50 = 165,532.50 : x
2. Step 2: Convert to fraction form
   106,953/165,532.50 = 165,532.50/x
3. Step 3: Cross multiply
   106,953x = 165,532.50 × 165,532.50
4. Step 4: Simplify right side
   106,953x = 27,401,008,556.25
5. Step 5: Solve for x
   x = 27,401,008,556.25/106,953
6. Step 6: Final answer
   x = 256,196.73