Finding the Third Proportional to 127,705 and 259,058

Step by Step Solution

1. Step 1: Write the proportion equation
   127,705 : 259,058 = 259,058 : x
2. Step 2: Convert to fraction form
   127,705/259,058 = 259,058/x
3. Step 3: Cross multiply
   127,705x = 259,058 × 259,058
4. Step 4: Simplify right side
   127,705x = 67,111,047,364
5. Step 5: Solve for x
   x = 67,111,047,364/127,705
6. Step 6: Final answer
   x = 525,516.21