Finding the Third Proportional to 123,172 and 265,572

Step by Step Solution

1. Step 1: Write the proportion equation
   123,172 : 265,572 = 265,572 : x
2. Step 2: Convert to fraction form
   123,172/265,572 = 265,572/x
3. Step 3: Cross multiply
   123,172x = 265,572 × 265,572
4. Step 4: Simplify right side
   123,172x = 70,528,487,184
5. Step 5: Solve for x
   x = 70,528,487,184/123,172
6. Step 6: Final answer
   x = 572,601.62