Finding the Third Proportional to 257,524.50 and 559,380

Step by Step Solution

1. Step 1: Write the proportion equation
   257,524.50 : 559,380 = 559,380 : x
2. Step 2: Convert to fraction form
   257,524.50/559,380 = 559,380/x
3. Step 3: Cross multiply
   257,524.50x = 559,380 × 559,380
4. Step 4: Simplify right side
   257,524.50x = 312,905,984,400
5. Step 5: Solve for x
   x = 312,905,984,400/257,524.50
6. Step 6: Final answer
   x = 1,215,053.26