Finding the Third Proportional to 123,604 and 265,844

Step by Step Solution

1. Step 1: Write the proportion equation
   123,604 : 265,844 = 265,844 : x
2. Step 2: Convert to fraction form
   123,604/265,844 = 265,844/x
3. Step 3: Cross multiply
   123,604x = 265,844 × 265,844
4. Step 4: Simplify right side
   123,604x = 70,673,032,336
5. Step 5: Solve for x
   x = 70,673,032,336/123,604
6. Step 6: Final answer
   x = 571,769.78