Finding the Third Proportional to 53,412 and 123,650

Step by Step Solution

1. Step 1: Write the proportion equation
   53,412 : 123,650 = 123,650 : x
2. Step 2: Convert to fraction form
   53,412/123,650 = 123,650/x
3. Step 3: Cross multiply
   53,412x = 123,650 × 123,650
4. Step 4: Simplify right side
   53,412x = 15,289,322,500
5. Step 5: Solve for x
   x = 15,289,322,500/53,412
6. Step 6: Final answer
   x = 286,252.57