Finding the Third Proportional to 123,510 and 265,746

Step by Step Solution

1. Step 1: Write the proportion equation
   123,510 : 265,746 = 265,746 : x
2. Step 2: Convert to fraction form
   123,510/265,746 = 265,746/x
3. Step 3: Cross multiply
   123,510x = 265,746 × 265,746
4. Step 4: Simplify right side
   123,510x = 70,620,936,516
5. Step 5: Solve for x
   x = 70,620,936,516/123,510
6. Step 6: Final answer
   x = 571,783.15