Finding the Third Proportional to 36,564 and 78,308

Step by Step Solution

1. Step 1: Write the proportion equation
   36,564 : 78,308 = 78,308 : x
2. Step 2: Convert to fraction form
   36,564/78,308 = 78,308/x
3. Step 3: Cross multiply
   36,564x = 78,308 × 78,308
4. Step 4: Simplify right side
   36,564x = 6,132,142,864
5. Step 5: Solve for x
   x = 6,132,142,864/36,564
6. Step 6: Final answer
   x = 167,709.85