Finding the Third Proportional to 123,046 and 188,631

Step by Step Solution

1. Step 1: Write the proportion equation
   123,046 : 188,631 = 188,631 : x
2. Step 2: Convert to fraction form
   123,046/188,631 = 188,631/x
3. Step 3: Cross multiply
   123,046x = 188,631 × 188,631
4. Step 4: Simplify right side
   123,046x = 35,581,654,161
5. Step 5: Solve for x
   x = 35,581,654,161/123,046
6. Step 6: Final answer
   x = 289,173.59