Finding the Third Proportional to 53,412 and 123,646

Step by Step Solution

1. Step 1: Write the proportion equation
   53,412 : 123,646 = 123,646 : x
2. Step 2: Convert to fraction form
   53,412/123,646 = 123,646/x
3. Step 3: Cross multiply
   53,412x = 123,646 × 123,646
4. Step 4: Simplify right side
   53,412x = 15,288,333,316
5. Step 5: Solve for x
   x = 15,288,333,316/53,412
6. Step 6: Final answer
   x = 286,234.05