Finding the Third Proportional to 42,602 and 89,611

Step by Step Solution

1. Step 1: Write the proportion equation
   42,602 : 89,611 = 89,611 : x
2. Step 2: Convert to fraction form
   42,602/89,611 = 89,611/x
3. Step 3: Cross multiply
   42,602x = 89,611 × 89,611
4. Step 4: Simplify right side
   42,602x = 8,030,131,321
5. Step 5: Solve for x
   x = 8,030,131,321/42,602
6. Step 6: Final answer
   x = 188,491.89