Finding the Third Proportional to 123,526 and 269,641

Step by Step Solution

1. Step 1: Write the proportion equation
   123,526 : 269,641 = 269,641 : x
2. Step 2: Convert to fraction form
   123,526/269,641 = 269,641/x
3. Step 3: Cross multiply
   123,526x = 269,641 × 269,641
4. Step 4: Simplify right side
   123,526x = 72,706,268,881
5. Step 5: Solve for x
   x = 72,706,268,881/123,526
6. Step 6: Final answer
   x = 588,590.81