Finding the Third Proportional to 53,410 and 123,641

Step by Step Solution

1. Step 1: Write the proportion equation
   53,410 : 123,641 = 123,641 : x
2. Step 2: Convert to fraction form
   53,410/123,641 = 123,641/x
3. Step 3: Cross multiply
   53,410x = 123,641 × 123,641
4. Step 4: Simplify right side
   53,410x = 15,287,096,881
5. Step 5: Solve for x
   x = 15,287,096,881/53,410
6. Step 6: Final answer
   x = 286,221.62