Finding the Third Proportional to 103,193 and 142,590

Step by Step Solution

1. Step 1: Write the proportion equation
   103,193 : 142,590 = 142,590 : x
2. Step 2: Convert to fraction form
   103,193/142,590 = 142,590/x
3. Step 3: Cross multiply
   103,193x = 142,590 × 142,590
4. Step 4: Simplify right side
   103,193x = 20,331,908,100
5. Step 5: Solve for x
   x = 20,331,908,100/103,193
6. Step 6: Final answer
   x = 197,027.98