Finding the Third Proportional to 81,630 and 123,677

Step by Step Solution

1. Step 1: Write the proportion equation
   81,630 : 123,677 = 123,677 : x
2. Step 2: Convert to fraction form
   81,630/123,677 = 123,677/x
3. Step 3: Cross multiply
   81,630x = 123,677 × 123,677
4. Step 4: Simplify right side
   81,630x = 15,296,000,329
5. Step 5: Solve for x
   x = 15,296,000,329/81,630
6. Step 6: Final answer
   x = 187,382.09