Finding the Third Proportional to 52,629 and 100,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,629 : 100,408.50 = 100,408.50 : x
2. Step 2: Convert to fraction form
   52,629/100,408.50 = 100,408.50/x
3. Step 3: Cross multiply
   52,629x = 100,408.50 × 100,408.50
4. Step 4: Simplify right side
   52,629x = 10,081,866,872.25
5. Step 5: Solve for x
   x = 10,081,866,872.25/52,629
6. Step 6: Final answer
   x = 191,564.86