Finding the Third Proportional to 77,806 and 123,514

Step by Step Solution

1. Step 1: Write the proportion equation
   77,806 : 123,514 = 123,514 : x
2. Step 2: Convert to fraction form
   77,806/123,514 = 123,514/x
3. Step 3: Cross multiply
   77,806x = 123,514 × 123,514
4. Step 4: Simplify right side
   77,806x = 15,255,708,196
5. Step 5: Solve for x
   x = 15,255,708,196/77,806
6. Step 6: Final answer
   x = 196,073.67