Finding the Third Proportional to 78,129 and 168,426

Step by Step Solution

1. Step 1: Write the proportion equation
   78,129 : 168,426 = 168,426 : x
2. Step 2: Convert to fraction form
   78,129/168,426 = 168,426/x
3. Step 3: Cross multiply
   78,129x = 168,426 × 168,426
4. Step 4: Simplify right side
   78,129x = 28,367,317,476
5. Step 5: Solve for x
   x = 28,367,317,476/78,129
6. Step 6: Final answer
   x = 363,083.07