Finding the Third Proportional to 55,581 and 123,598

Step by Step Solution

1. Step 1: Write the proportion equation
   55,581 : 123,598 = 123,598 : x
2. Step 2: Convert to fraction form
   55,581/123,598 = 123,598/x
3. Step 3: Cross multiply
   55,581x = 123,598 × 123,598
4. Step 4: Simplify right side
   55,581x = 15,276,465,604
5. Step 5: Solve for x
   x = 15,276,465,604/55,581
6. Step 6: Final answer
   x = 274,850.50