Finding the Third Proportional to 59,538 and 84,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,538 : 84,628.50 = 84,628.50 : x
2. Step 2: Convert to fraction form
   59,538/84,628.50 = 84,628.50/x
3. Step 3: Cross multiply
   59,538x = 84,628.50 × 84,628.50
4. Step 4: Simplify right side
   59,538x = 7,161,983,012.25
5. Step 5: Solve for x
   x = 7,161,983,012.25/59,538
6. Step 6: Final answer
   x = 120,292.64