Finding the Third Proportional to 105,321 and 231,051

Step by Step Solution

1. Step 1: Write the proportion equation
   105,321 : 231,051 = 231,051 : x
2. Step 2: Convert to fraction form
   105,321/231,051 = 231,051/x
3. Step 3: Cross multiply
   105,321x = 231,051 × 231,051
4. Step 4: Simplify right side
   105,321x = 53,384,564,601
5. Step 5: Solve for x
   x = 53,384,564,601/105,321
6. Step 6: Final answer
   x = 506,874.84