Finding the Third Proportional to 123,322 and 265,352

Step by Step Solution

1. Step 1: Write the proportion equation
   123,322 : 265,352 = 265,352 : x
2. Step 2: Convert to fraction form
   123,322/265,352 = 265,352/x
3. Step 3: Cross multiply
   123,322x = 265,352 × 265,352
4. Step 4: Simplify right side
   123,322x = 70,411,683,904
5. Step 5: Solve for x
   x = 70,411,683,904/123,322
6. Step 6: Final answer
   x = 570,958.01