Finding the Third Proportional to 77,971 and 123,956

Step by Step Solution

1. Step 1: Write the proportion equation
   77,971 : 123,956 = 123,956 : x
2. Step 2: Convert to fraction form
   77,971/123,956 = 123,956/x
3. Step 3: Cross multiply
   77,971x = 123,956 × 123,956
4. Step 4: Simplify right side
   77,971x = 15,365,089,936
5. Step 5: Solve for x
   x = 15,365,089,936/77,971
6. Step 6: Final answer
   x = 197,061.60