Finding the Third Proportional to 71,684 and 141,602

Step by Step Solution

1. Step 1: Write the proportion equation
   71,684 : 141,602 = 141,602 : x
2. Step 2: Convert to fraction form
   71,684/141,602 = 141,602/x
3. Step 3: Cross multiply
   71,684x = 141,602 × 141,602
4. Step 4: Simplify right side
   71,684x = 20,051,126,404
5. Step 5: Solve for x
   x = 20,051,126,404/71,684
6. Step 6: Final answer
   x = 279,715.51