Finding the Third Proportional to 57,629 and 85,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,629 : 85,608.50 = 85,608.50 : x
2. Step 2: Convert to fraction form
   57,629/85,608.50 = 85,608.50/x
3. Step 3: Cross multiply
   57,629x = 85,608.50 × 85,608.50
4. Step 4: Simplify right side
   57,629x = 7,328,815,272.25
5. Step 5: Solve for x
   x = 7,328,815,272.25/57,629
6. Step 6: Final answer
   x = 127,172.35