Finding the Third Proportional to 78,054 and 168,588

Step by Step Solution

1. Step 1: Write the proportion equation
   78,054 : 168,588 = 168,588 : x
2. Step 2: Convert to fraction form
   78,054/168,588 = 168,588/x
3. Step 3: Cross multiply
   78,054x = 168,588 × 168,588
4. Step 4: Simplify right side
   78,054x = 28,421,913,744
5. Step 5: Solve for x
   x = 28,421,913,744/78,054
6. Step 6: Final answer
   x = 364,131.42