Finding the Third Proportional to 42,132 and 89,460

Step by Step Solution

1. Step 1: Write the proportion equation
   42,132 : 89,460 = 89,460 : x
2. Step 2: Convert to fraction form
   42,132/89,460 = 89,460/x
3. Step 3: Cross multiply
   42,132x = 89,460 × 89,460
4. Step 4: Simplify right side
   42,132x = 8,003,091,600
5. Step 5: Solve for x
   x = 8,003,091,600/42,132
6. Step 6: Final answer
   x = 189,952.81