Finding the Third Proportional to 71,676 and 113,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,676 : 113,870.50 = 113,870.50 : x
2. Step 2: Convert to fraction form
   71,676/113,870.50 = 113,870.50/x
3. Step 3: Cross multiply
   71,676x = 113,870.50 × 113,870.50
4. Step 4: Simplify right side
   71,676x = 12,966,490,770.25
5. Step 5: Solve for x
   x = 12,966,490,770.25/71,676
6. Step 6: Final answer
   x = 180,904.22