Finding the Third Proportional to 123,157 and 265,543

Step by Step Solution

1. Step 1: Write the proportion equation
   123,157 : 265,543 = 265,543 : x
2. Step 2: Convert to fraction form
   123,157/265,543 = 265,543/x
3. Step 3: Cross multiply
   123,157x = 265,543 × 265,543
4. Step 4: Simplify right side
   123,157x = 70,513,084,849
5. Step 5: Solve for x
   x = 70,513,084,849/123,157
6. Step 6: Final answer
   x = 572,546.30