Finding the Third Proportional to 106,411.69 and 158,694.75

Step by Step Solution

1. Step 1: Write the proportion equation
   106,411.69 : 158,694.75 = 158,694.75 : x
2. Step 2: Convert to fraction form
   106,411.69/158,694.75 = 158,694.75/x
3. Step 3: Cross multiply
   106,411.69x = 158,694.75 × 158,694.75
4. Step 4: Simplify right side
   106,411.69x = 25,184,023,677.56
5. Step 5: Solve for x
   x = 25,184,023,677.56/106,411.69
6. Step 6: Final answer
   x = 236,665.96