Finding the Third Proportional to 120,723 and 257,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,723 : 257,038.50 = 257,038.50 : x
2. Step 2: Convert to fraction form
   120,723/257,038.50 = 257,038.50/x
3. Step 3: Cross multiply
   120,723x = 257,038.50 × 257,038.50
4. Step 4: Simplify right side
   120,723x = 66,068,790,482.25
5. Step 5: Solve for x
   x = 66,068,790,482.25/120,723
6. Step 6: Final answer
   x = 547,275.92