Finding the Third Proportional to 62,569 and 137,590

Step by Step Solution

1. Step 1: Write the proportion equation
   62,569 : 137,590 = 137,590 : x
2. Step 2: Convert to fraction form
   62,569/137,590 = 137,590/x
3. Step 3: Cross multiply
   62,569x = 137,590 × 137,590
4. Step 4: Simplify right side
   62,569x = 18,931,008,100
5. Step 5: Solve for x
   x = 18,931,008,100/62,569
6. Step 6: Final answer
   x = 302,562.10