Finding the Third Proportional to 257,283 and 397,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,283 : 397,588.50 = 397,588.50 : x
2. Step 2: Convert to fraction form
   257,283/397,588.50 = 397,588.50/x
3. Step 3: Cross multiply
   257,283x = 397,588.50 × 397,588.50
4. Step 4: Simplify right side
   257,283x = 158,076,615,332.25
5. Step 5: Solve for x
   x = 158,076,615,332.25/257,283
6. Step 6: Final answer
   x = 614,407.54