Finding the Third Proportional to 77,684 and 116,485

Step by Step Solution

1. Step 1: Write the proportion equation
   77,684 : 116,485 = 116,485 : x
2. Step 2: Convert to fraction form
   77,684/116,485 = 116,485/x
3. Step 3: Cross multiply
   77,684x = 116,485 × 116,485
4. Step 4: Simplify right side
   77,684x = 13,568,755,225
5. Step 5: Solve for x
   x = 13,568,755,225/77,684
6. Step 6: Final answer
   x = 174,666.02