Finding the Third Proportional to 36,360 and 77,114

Step by Step Solution

1. Step 1: Write the proportion equation
   36,360 : 77,114 = 77,114 : x
2. Step 2: Convert to fraction form
   36,360/77,114 = 77,114/x
3. Step 3: Cross multiply
   36,360x = 77,114 × 77,114
4. Step 4: Simplify right side
   36,360x = 5,946,568,996
5. Step 5: Solve for x
   x = 5,946,568,996/36,360
6. Step 6: Final answer
   x = 163,547.00