Finding the Third Proportional to 123,516 and 266,616

Step by Step Solution

1. Step 1: Write the proportion equation
   123,516 : 266,616 = 266,616 : x
2. Step 2: Convert to fraction form
   123,516/266,616 = 266,616/x
3. Step 3: Cross multiply
   123,516x = 266,616 × 266,616
4. Step 4: Simplify right side
   123,516x = 71,084,091,456
5. Step 5: Solve for x
   x = 71,084,091,456/123,516
6. Step 6: Final answer
   x = 575,505.13