Finding the Third Proportional to 77,951 and 114,010

Step by Step Solution

1. Step 1: Write the proportion equation
   77,951 : 114,010 = 114,010 : x
2. Step 2: Convert to fraction form
   77,951/114,010 = 114,010/x
3. Step 3: Cross multiply
   77,951x = 114,010 × 114,010
4. Step 4: Simplify right side
   77,951x = 12,998,280,100
5. Step 5: Solve for x
   x = 12,998,280,100/77,951
6. Step 6: Final answer
   x = 166,749.37