Finding the Third Proportional to 116,820 and 251,412

Step by Step Solution

1. Step 1: Write the proportion equation
   116,820 : 251,412 = 251,412 : x
2. Step 2: Convert to fraction form
   116,820/251,412 = 251,412/x
3. Step 3: Cross multiply
   116,820x = 251,412 × 251,412
4. Step 4: Simplify right side
   116,820x = 63,207,993,744
5. Step 5: Solve for x
   x = 63,207,993,744/116,820
6. Step 6: Final answer
   x = 541,071.68