Finding the Third Proportional to 59,789 and 125,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,789 : 125,774.50 = 125,774.50 : x
2. Step 2: Convert to fraction form
   59,789/125,774.50 = 125,774.50/x
3. Step 3: Cross multiply
   59,789x = 125,774.50 × 125,774.50
4. Step 4: Simplify right side
   59,789x = 15,819,224,850.25
5. Step 5: Solve for x
   x = 15,819,224,850.25/59,789
6. Step 6: Final answer
   x = 264,584.20