Finding the Third Proportional to 78,137 and 168,139

Step by Step Solution

1. Step 1: Write the proportion equation
   78,137 : 168,139 = 168,139 : x
2. Step 2: Convert to fraction form
   78,137/168,139 = 168,139/x
3. Step 3: Cross multiply
   78,137x = 168,139 × 168,139
4. Step 4: Simplify right side
   78,137x = 28,270,723,321
5. Step 5: Solve for x
   x = 28,270,723,321/78,137
6. Step 6: Final answer
   x = 361,809.68