Finding the Third Proportional to 42,685 and 89,866

Step by Step Solution

1. Step 1: Write the proportion equation
   42,685 : 89,866 = 89,866 : x
2. Step 2: Convert to fraction form
   42,685/89,866 = 89,866/x
3. Step 3: Cross multiply
   42,685x = 89,866 × 89,866
4. Step 4: Simplify right side
   42,685x = 8,075,897,956
5. Step 5: Solve for x
   x = 8,075,897,956/42,685
6. Step 6: Final answer
   x = 189,197.56