Finding the Third Proportional to 120,717 and 257,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,717 : 257,026.50 = 257,026.50 : x
2. Step 2: Convert to fraction form
   120,717/257,026.50 = 257,026.50/x
3. Step 3: Cross multiply
   120,717x = 257,026.50 × 257,026.50
4. Step 4: Simplify right side
   120,717x = 66,062,621,702.25
5. Step 5: Solve for x
   x = 66,062,621,702.25/120,717
6. Step 6: Final answer
   x = 547,252.02