Finding the Third Proportional to 231,754 and 501,416

Step by Step Solution

1. Step 1: Write the proportion equation
   231,754 : 501,416 = 501,416 : x
2. Step 2: Convert to fraction form
   231,754/501,416 = 501,416/x
3. Step 3: Cross multiply
   231,754x = 501,416 × 501,416
4. Step 4: Simplify right side
   231,754x = 251,418,005,056
5. Step 5: Solve for x
   x = 251,418,005,056/231,754
6. Step 6: Final answer
   x = 1,084,848.61