Finding the Third Proportional to 42,138 and 89,460

Step by Step Solution

1. Step 1: Write the proportion equation
   42,138 : 89,460 = 89,460 : x
2. Step 2: Convert to fraction form
   42,138/89,460 = 89,460/x
3. Step 3: Cross multiply
   42,138x = 89,460 × 89,460
4. Step 4: Simplify right side
   42,138x = 8,003,091,600
5. Step 5: Solve for x
   x = 8,003,091,600/42,138
6. Step 6: Final answer
   x = 189,925.76