Finding the Third Proportional to 100,408 and 161,434.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,408 : 161,434.50 = 161,434.50 : x
2. Step 2: Convert to fraction form
   100,408/161,434.50 = 161,434.50/x
3. Step 3: Cross multiply
   100,408x = 161,434.50 × 161,434.50
4. Step 4: Simplify right side
   100,408x = 26,061,097,790.25
5. Step 5: Solve for x
   x = 26,061,097,790.25/100,408
6. Step 6: Final answer
   x = 259,552.01