Finding the Third Proportional to 77,773 and 116,956

Step by Step Solution

1. Step 1: Write the proportion equation
   77,773 : 116,956 = 116,956 : x
2. Step 2: Convert to fraction form
   77,773/116,956 = 116,956/x
3. Step 3: Cross multiply
   77,773x = 116,956 × 116,956
4. Step 4: Simplify right side
   77,773x = 13,678,705,936
5. Step 5: Solve for x
   x = 13,678,705,936/77,773
6. Step 6: Final answer
   x = 175,879.88