Finding the Third Proportional to 107,629 and 147,745.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,629 : 147,745.50 = 147,745.50 : x
2. Step 2: Convert to fraction form
   107,629/147,745.50 = 147,745.50/x
3. Step 3: Cross multiply
   107,629x = 147,745.50 × 147,745.50
4. Step 4: Simplify right side
   107,629x = 21,828,732,770.25
5. Step 5: Solve for x
   x = 21,828,732,770.25/107,629
6. Step 6: Final answer
   x = 202,814.60