Finding the Third Proportional to 78,084 and 173,646

Step by Step Solution

1. Step 1: Write the proportion equation
   78,084 : 173,646 = 173,646 : x
2. Step 2: Convert to fraction form
   78,084/173,646 = 173,646/x
3. Step 3: Cross multiply
   78,084x = 173,646 × 173,646
4. Step 4: Simplify right side
   78,084x = 30,152,933,316
5. Step 5: Solve for x
   x = 30,152,933,316/78,084
6. Step 6: Final answer
   x = 386,160.20