Finding the Third Proportional to 42,609 and 91,362

Step by Step Solution

1. Step 1: Write the proportion equation
   42,609 : 91,362 = 91,362 : x
2. Step 2: Convert to fraction form
   42,609/91,362 = 91,362/x
3. Step 3: Cross multiply
   42,609x = 91,362 × 91,362
4. Step 4: Simplify right side
   42,609x = 8,347,015,044
5. Step 5: Solve for x
   x = 8,347,015,044/42,609
6. Step 6: Final answer
   x = 195,897.93