Finding the Third Proportional to 78,007 and 168,172

Step by Step Solution

1. Step 1: Write the proportion equation
   78,007 : 168,172 = 168,172 : x
2. Step 2: Convert to fraction form
   78,007/168,172 = 168,172/x
3. Step 3: Cross multiply
   78,007x = 168,172 × 168,172
4. Step 4: Simplify right side
   78,007x = 28,281,821,584
5. Step 5: Solve for x
   x = 28,281,821,584/78,007
6. Step 6: Final answer
   x = 362,554.92