Finding the Third Proportional to 106,494 and 161,685.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,494 : 161,685.50 = 161,685.50 : x
2. Step 2: Convert to fraction form
   106,494/161,685.50 = 161,685.50/x
3. Step 3: Cross multiply
   106,494x = 161,685.50 × 161,685.50
4. Step 4: Simplify right side
   106,494x = 26,142,200,910.25
5. Step 5: Solve for x
   x = 26,142,200,910.25/106,494
6. Step 6: Final answer
   x = 245,480.51