Finding the Third Proportional to 105,280 and 142,933

Step by Step Solution

1. Step 1: Write the proportion equation
   105,280 : 142,933 = 142,933 : x
2. Step 2: Convert to fraction form
   105,280/142,933 = 142,933/x
3. Step 3: Cross multiply
   105,280x = 142,933 × 142,933
4. Step 4: Simplify right side
   105,280x = 20,429,842,489
5. Step 5: Solve for x
   x = 20,429,842,489/105,280
6. Step 6: Final answer
   x = 194,052.46