Finding the Third Proportional to 42,534 and 91,870

Step by Step Solution

1. Step 1: Write the proportion equation
   42,534 : 91,870 = 91,870 : x
2. Step 2: Convert to fraction form
   42,534/91,870 = 91,870/x
3. Step 3: Cross multiply
   42,534x = 91,870 × 91,870
4. Step 4: Simplify right side
   42,534x = 8,440,096,900
5. Step 5: Solve for x
   x = 8,440,096,900/42,534
6. Step 6: Final answer
   x = 198,431.77