Finding the Third Proportional to 105,570 and 230,076

Step by Step Solution

1. Step 1: Write the proportion equation
   105,570 : 230,076 = 230,076 : x
2. Step 2: Convert to fraction form
   105,570/230,076 = 230,076/x
3. Step 3: Cross multiply
   105,570x = 230,076 × 230,076
4. Step 4: Simplify right side
   105,570x = 52,934,965,776
5. Step 5: Solve for x
   x = 52,934,965,776/105,570
6. Step 6: Final answer
   x = 501,420.53