Finding the Third Proportional to 77,160 and 116,568

Step by Step Solution

1. Step 1: Write the proportion equation
   77,160 : 116,568 = 116,568 : x
2. Step 2: Convert to fraction form
   77,160/116,568 = 116,568/x
3. Step 3: Cross multiply
   77,160x = 116,568 × 116,568
4. Step 4: Simplify right side
   77,160x = 13,588,098,624
5. Step 5: Solve for x
   x = 13,588,098,624/77,160
6. Step 6: Final answer
   x = 176,102.89