Finding the Third Proportional to 71,677 and 141,590

Step by Step Solution

1. Step 1: Write the proportion equation
   71,677 : 141,590 = 141,590 : x
2. Step 2: Convert to fraction form
   71,677/141,590 = 141,590/x
3. Step 3: Cross multiply
   71,677x = 141,590 × 141,590
4. Step 4: Simplify right side
   71,677x = 20,047,728,100
5. Step 5: Solve for x
   x = 20,047,728,100/71,677
6. Step 6: Final answer
   x = 279,695.41