Finding the Third Proportional to 42,460 and 89,051

Step by Step Solution

1. Step 1: Write the proportion equation
   42,460 : 89,051 = 89,051 : x
2. Step 2: Convert to fraction form
   42,460/89,051 = 89,051/x
3. Step 3: Cross multiply
   42,460x = 89,051 × 89,051
4. Step 4: Simplify right side
   42,460x = 7,930,080,601
5. Step 5: Solve for x
   x = 7,930,080,601/42,460
6. Step 6: Final answer
   x = 186,765.91