Finding the Third Proportional to 125,201 and 265,300

Step by Step Solution

1. Step 1: Write the proportion equation
   125,201 : 265,300 = 265,300 : x
2. Step 2: Convert to fraction form
   125,201/265,300 = 265,300/x
3. Step 3: Cross multiply
   125,201x = 265,300 × 265,300
4. Step 4: Simplify right side
   125,201x = 70,384,090,000
5. Step 5: Solve for x
   x = 70,384,090,000/125,201
6. Step 6: Final answer
   x = 562,168.75