Finding the Third Proportional to 78,628 and 117,654

Step by Step Solution

1. Step 1: Write the proportion equation
   78,628 : 117,654 = 117,654 : x
2. Step 2: Convert to fraction form
   78,628/117,654 = 117,654/x
3. Step 3: Cross multiply
   78,628x = 117,654 × 117,654
4. Step 4: Simplify right side
   78,628x = 13,842,463,716
5. Step 5: Solve for x
   x = 13,842,463,716/78,628
6. Step 6: Final answer
   x = 176,050.05