Finding the Third Proportional to 51,620 and 109,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,620 : 109,442.50 = 109,442.50 : x
2. Step 2: Convert to fraction form
   51,620/109,442.50 = 109,442.50/x
3. Step 3: Cross multiply
   51,620x = 109,442.50 × 109,442.50
4. Step 4: Simplify right side
   51,620x = 11,977,660,806.25
5. Step 5: Solve for x
   x = 11,977,660,806.25/51,620
6. Step 6: Final answer
   x = 232,035.27