Finding the Third Proportional to 77,141 and 116,679

Step by Step Solution

1. Step 1: Write the proportion equation
   77,141 : 116,679 = 116,679 : x
2. Step 2: Convert to fraction form
   77,141/116,679 = 116,679/x
3. Step 3: Cross multiply
   77,141x = 116,679 × 116,679
4. Step 4: Simplify right side
   77,141x = 13,613,989,041
5. Step 5: Solve for x
   x = 13,613,989,041/77,141
6. Step 6: Final answer
   x = 176,481.88