Finding the Third Proportional to 123,597 and 187,764

Step by Step Solution

1. Step 1: Write the proportion equation
   123,597 : 187,764 = 187,764 : x
2. Step 2: Convert to fraction form
   123,597/187,764 = 187,764/x
3. Step 3: Cross multiply
   123,597x = 187,764 × 187,764
4. Step 4: Simplify right side
   123,597x = 35,255,319,696
5. Step 5: Solve for x
   x = 35,255,319,696/123,597
6. Step 6: Final answer
   x = 285,244.14