Finding the Third Proportional to 231,827 and 507,988

Step by Step Solution

1. Step 1: Write the proportion equation
   231,827 : 507,988 = 507,988 : x
2. Step 2: Convert to fraction form
   231,827/507,988 = 507,988/x
3. Step 3: Cross multiply
   231,827x = 507,988 × 507,988
4. Step 4: Simplify right side
   231,827x = 258,051,808,144
5. Step 5: Solve for x
   x = 258,051,808,144/231,827
6. Step 6: Final answer
   x = 1,113,122.32