Finding the Third Proportional to 78,008 and 168,468

Step by Step Solution

1. Step 1: Write the proportion equation
   78,008 : 168,468 = 168,468 : x
2. Step 2: Convert to fraction form
   78,008/168,468 = 168,468/x
3. Step 3: Cross multiply
   78,008x = 168,468 × 168,468
4. Step 4: Simplify right side
   78,008x = 28,381,467,024
5. Step 5: Solve for x
   x = 28,381,467,024/78,008
6. Step 6: Final answer
   x = 363,827.65