Finding the Third Proportional to 53,384 and 123,572

Step by Step Solution

1. Step 1: Write the proportion equation
   53,384 : 123,572 = 123,572 : x
2. Step 2: Convert to fraction form
   53,384/123,572 = 123,572/x
3. Step 3: Cross multiply
   53,384x = 123,572 × 123,572
4. Step 4: Simplify right side
   53,384x = 15,270,039,184
5. Step 5: Solve for x
   x = 15,270,039,184/53,384
6. Step 6: Final answer
   x = 286,041.50