Finding the Third Proportional to 85,498 and 186,726

Step by Step Solution

1. Step 1: Write the proportion equation
   85,498 : 186,726 = 186,726 : x
2. Step 2: Convert to fraction form
   85,498/186,726 = 186,726/x
3. Step 3: Cross multiply
   85,498x = 186,726 × 186,726
4. Step 4: Simplify right side
   85,498x = 34,866,599,076
5. Step 5: Solve for x
   x = 34,866,599,076/85,498
6. Step 6: Final answer
   x = 407,806.02