Finding the Third Proportional to 105,402.94 and 165,164.06

Step by Step Solution

1. Step 1: Write the proportion equation
   105,402.94 : 165,164.06 = 165,164.06 : x
2. Step 2: Convert to fraction form
   105,402.94/165,164.06 = 165,164.06/x
3. Step 3: Cross multiply
   105,402.94x = 165,164.06 × 165,164.06
4. Step 4: Simplify right side
   105,402.94x = 27,279,167,541.50
5. Step 5: Solve for x
   x = 27,279,167,541.50/105,402.94
6. Step 6: Final answer
   x = 258,808.42