Finding the Third Proportional to 37,222 and 76,418

Step by Step Solution

1. Step 1: Write the proportion equation
   37,222 : 76,418 = 76,418 : x
2. Step 2: Convert to fraction form
   37,222/76,418 = 76,418/x
3. Step 3: Cross multiply
   37,222x = 76,418 × 76,418
4. Step 4: Simplify right side
   37,222x = 5,839,710,724
5. Step 5: Solve for x
   x = 5,839,710,724/37,222
6. Step 6: Final answer
   x = 156,888.69