Finding the Third Proportional to 58,769 and 123,586

Step by Step Solution

1. Step 1: Write the proportion equation
   58,769 : 123,586 = 123,586 : x
2. Step 2: Convert to fraction form
   58,769/123,586 = 123,586/x
3. Step 3: Cross multiply
   58,769x = 123,586 × 123,586
4. Step 4: Simplify right side
   58,769x = 15,273,499,396
5. Step 5: Solve for x
   x = 15,273,499,396/58,769
6. Step 6: Final answer
   x = 259,890.41