Finding the Third Proportional to 257,850 and 609,673.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,850 : 609,673.50 = 609,673.50 : x
2. Step 2: Convert to fraction form
   257,850/609,673.50 = 609,673.50/x
3. Step 3: Cross multiply
   257,850x = 609,673.50 × 609,673.50
4. Step 4: Simplify right side
   257,850x = 371,701,776,602.25
5. Step 5: Solve for x
   x = 371,701,776,602.25/257,850
6. Step 6: Final answer
   x = 1,441,542.67