Finding the Third Proportional to 231,774 and 488,457

Step by Step Solution

1. Step 1: Write the proportion equation
   231,774 : 488,457 = 488,457 : x
2. Step 2: Convert to fraction form
   231,774/488,457 = 488,457/x
3. Step 3: Cross multiply
   231,774x = 488,457 × 488,457
4. Step 4: Simplify right side
   231,774x = 238,590,240,849
5. Step 5: Solve for x
   x = 238,590,240,849/231,774
6. Step 6: Final answer
   x = 1,029,409.00