Finding the Third Proportional to 260,196 and 380,412

Step by Step Solution

1. Step 1: Write the proportion equation
   260,196 : 380,412 = 380,412 : x
2. Step 2: Convert to fraction form
   260,196/380,412 = 380,412/x
3. Step 3: Cross multiply
   260,196x = 380,412 × 380,412
4. Step 4: Simplify right side
   260,196x = 144,713,289,744
5. Step 5: Solve for x
   x = 144,713,289,744/260,196
6. Step 6: Final answer
   x = 556,170.31