Finding the Third Proportional to 257,760 and 553,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,760 : 553,612.50 = 553,612.50 : x
2. Step 2: Convert to fraction form
   257,760/553,612.50 = 553,612.50/x
3. Step 3: Cross multiply
   257,760x = 553,612.50 × 553,612.50
4. Step 4: Simplify right side
   257,760x = 306,486,800,156.25
5. Step 5: Solve for x
   x = 306,486,800,156.25/257,760
6. Step 6: Final answer
   x = 1,189,039.42