Finding the Third Proportional to 42,460 and 91,840

Step by Step Solution

1. Step 1: Write the proportion equation
   42,460 : 91,840 = 91,840 : x
2. Step 2: Convert to fraction form
   42,460/91,840 = 91,840/x
3. Step 3: Cross multiply
   42,460x = 91,840 × 91,840
4. Step 4: Simplify right side
   42,460x = 8,434,585,600
5. Step 5: Solve for x
   x = 8,434,585,600/42,460
6. Step 6: Final answer
   x = 198,647.80