Finding the Third Proportional to 42,314 and 91,912

Step by Step Solution

1. Step 1: Write the proportion equation
   42,314 : 91,912 = 91,912 : x
2. Step 2: Convert to fraction form
   42,314/91,912 = 91,912/x
3. Step 3: Cross multiply
   42,314x = 91,912 × 91,912
4. Step 4: Simplify right side
   42,314x = 8,447,815,744
5. Step 5: Solve for x
   x = 8,447,815,744/42,314
6. Step 6: Final answer
   x = 199,645.88