Finding the Third Proportional to 102,801 and 164,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,801 : 164,041.50 = 164,041.50 : x
2. Step 2: Convert to fraction form
   102,801/164,041.50 = 164,041.50/x
3. Step 3: Cross multiply
   102,801x = 164,041.50 × 164,041.50
4. Step 4: Simplify right side
   102,801x = 26,909,613,722.25
5. Step 5: Solve for x
   x = 26,909,613,722.25/102,801
6. Step 6: Final answer
   x = 261,764.12