Finding the Third Proportional to 121,388 and 265,012

Step by Step Solution

1. Step 1: Write the proportion equation
   121,388 : 265,012 = 265,012 : x
2. Step 2: Convert to fraction form
   121,388/265,012 = 265,012/x
3. Step 3: Cross multiply
   121,388x = 265,012 × 265,012
4. Step 4: Simplify right side
   121,388x = 70,231,360,144
5. Step 5: Solve for x
   x = 70,231,360,144/121,388
6. Step 6: Final answer
   x = 578,569.22