Finding the Third Proportional to 42,546 and 99,369

Step by Step Solution

1. Step 1: Write the proportion equation
   42,546 : 99,369 = 99,369 : x
2. Step 2: Convert to fraction form
   42,546/99,369 = 99,369/x
3. Step 3: Cross multiply
   42,546x = 99,369 × 99,369
4. Step 4: Simplify right side
   42,546x = 9,874,198,161
5. Step 5: Solve for x
   x = 9,874,198,161/42,546
6. Step 6: Final answer
   x = 232,082.88