Finding the Third Proportional to 257,616 and 558,112.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,616 : 558,112.50 = 558,112.50 : x
2. Step 2: Convert to fraction form
   257,616/558,112.50 = 558,112.50/x
3. Step 3: Cross multiply
   257,616x = 558,112.50 × 558,112.50
4. Step 4: Simplify right side
   257,616x = 311,489,562,656.25
5. Step 5: Solve for x
   x = 311,489,562,656.25/257,616
6. Step 6: Final answer
   x = 1,209,123.51