Finding the Third Proportional to 77,778 and 123,672

Step by Step Solution

1. Step 1: Write the proportion equation
   77,778 : 123,672 = 123,672 : x
2. Step 2: Convert to fraction form
   77,778/123,672 = 123,672/x
3. Step 3: Cross multiply
   77,778x = 123,672 × 123,672
4. Step 4: Simplify right side
   77,778x = 15,294,763,584
5. Step 5: Solve for x
   x = 15,294,763,584/77,778
6. Step 6: Final answer
   x = 196,646.40