Finding the Third Proportional to 42,302 and 90,460

Step by Step Solution

1. Step 1: Write the proportion equation
   42,302 : 90,460 = 90,460 : x
2. Step 2: Convert to fraction form
   42,302/90,460 = 90,460/x
3. Step 3: Cross multiply
   42,302x = 90,460 × 90,460
4. Step 4: Simplify right side
   42,302x = 8,183,011,600
5. Step 5: Solve for x
   x = 8,183,011,600/42,302
6. Step 6: Final answer
   x = 193,442.66