Finding the Third Proportional to 119,707.50 and 257,058

Step by Step Solution

1. Step 1: Write the proportion equation
   119,707.50 : 257,058 = 257,058 : x
2. Step 2: Convert to fraction form
   119,707.50/257,058 = 257,058/x
3. Step 3: Cross multiply
   119,707.50x = 257,058 × 257,058
4. Step 4: Simplify right side
   119,707.50x = 66,078,815,364
5. Step 5: Solve for x
   x = 66,078,815,364/119,707.50
6. Step 6: Final answer
   x = 552,002.30