Finding the Third Proportional to 103,739 and 164,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,739 : 164,680.50 = 164,680.50 : x
2. Step 2: Convert to fraction form
   103,739/164,680.50 = 164,680.50/x
3. Step 3: Cross multiply
   103,739x = 164,680.50 × 164,680.50
4. Step 4: Simplify right side
   103,739x = 27,119,667,080.25
5. Step 5: Solve for x
   x = 27,119,667,080.25/103,739
6. Step 6: Final answer
   x = 261,422.10