Finding the Third Proportional to 108,510 and 165,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,510 : 165,892.50 = 165,892.50 : x
2. Step 2: Convert to fraction form
   108,510/165,892.50 = 165,892.50/x
3. Step 3: Cross multiply
   108,510x = 165,892.50 × 165,892.50
4. Step 4: Simplify right side
   108,510x = 27,520,321,556.25
5. Step 5: Solve for x
   x = 27,520,321,556.25/108,510
6. Step 6: Final answer
   x = 253,620.14