Finding the Third Proportional to 257,088 and 557,080.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,088 : 557,080.50 = 557,080.50 : x
2. Step 2: Convert to fraction form
   257,088/557,080.50 = 557,080.50/x
3. Step 3: Cross multiply
   257,088x = 557,080.50 × 557,080.50
4. Step 4: Simplify right side
   257,088x = 310,338,683,480.25
5. Step 5: Solve for x
   x = 310,338,683,480.25/257,088
6. Step 6: Final answer
   x = 1,207,130.18