Finding the Third Proportional to 42,160 and 89,514

Step by Step Solution

1. Step 1: Write the proportion equation
   42,160 : 89,514 = 89,514 : x
2. Step 2: Convert to fraction form
   42,160/89,514 = 89,514/x
3. Step 3: Cross multiply
   42,160x = 89,514 × 89,514
4. Step 4: Simplify right side
   42,160x = 8,012,756,196
5. Step 5: Solve for x
   x = 8,012,756,196/42,160
6. Step 6: Final answer
   x = 190,055.89