Finding the Third Proportional to 78,957 and 102,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,957 : 102,442.50 = 102,442.50 : x
2. Step 2: Convert to fraction form
   78,957/102,442.50 = 102,442.50/x
3. Step 3: Cross multiply
   78,957x = 102,442.50 × 102,442.50
4. Step 4: Simplify right side
   78,957x = 10,494,465,806.25
5. Step 5: Solve for x
   x = 10,494,465,806.25/78,957
6. Step 6: Final answer
   x = 132,913.68