Finding the Third Proportional to 77,769 and 116,951

Step by Step Solution

1. Step 1: Write the proportion equation
   77,769 : 116,951 = 116,951 : x
2. Step 2: Convert to fraction form
   77,769/116,951 = 116,951/x
3. Step 3: Cross multiply
   77,769x = 116,951 × 116,951
4. Step 4: Simplify right side
   77,769x = 13,677,536,401
5. Step 5: Solve for x
   x = 13,677,536,401/77,769
6. Step 6: Final answer
   x = 175,873.89