Finding the Third Proportional to 105,020 and 230,453

Step by Step Solution

1. Step 1: Write the proportion equation
   105,020 : 230,453 = 230,453 : x
2. Step 2: Convert to fraction form
   105,020/230,453 = 230,453/x
3. Step 3: Cross multiply
   105,020x = 230,453 × 230,453
4. Step 4: Simplify right side
   105,020x = 53,108,585,209
5. Step 5: Solve for x
   x = 53,108,585,209/105,020
6. Step 6: Final answer
   x = 505,699.73