Finding the Third Proportional to 78,654 and 169,830

Step by Step Solution

1. Step 1: Write the proportion equation
   78,654 : 169,830 = 169,830 : x
2. Step 2: Convert to fraction form
   78,654/169,830 = 169,830/x
3. Step 3: Cross multiply
   78,654x = 169,830 × 169,830
4. Step 4: Simplify right side
   78,654x = 28,842,228,900
5. Step 5: Solve for x
   x = 28,842,228,900/78,654
6. Step 6: Final answer
   x = 366,697.55