Finding the Third Proportional to 123,322 and 265,058

Step by Step Solution

1. Step 1: Write the proportion equation
   123,322 : 265,058 = 265,058 : x
2. Step 2: Convert to fraction form
   123,322/265,058 = 265,058/x
3. Step 3: Cross multiply
   123,322x = 265,058 × 265,058
4. Step 4: Simplify right side
   123,322x = 70,255,743,364
5. Step 5: Solve for x
   x = 70,255,743,364/123,322
6. Step 6: Final answer
   x = 569,693.51