Finding the Third Proportional to 37,274 and 78,436

Step by Step Solution

1. Step 1: Write the proportion equation
   37,274 : 78,436 = 78,436 : x
2. Step 2: Convert to fraction form
   37,274/78,436 = 78,436/x
3. Step 3: Cross multiply
   37,274x = 78,436 × 78,436
4. Step 4: Simplify right side
   37,274x = 6,152,206,096
5. Step 5: Solve for x
   x = 6,152,206,096/37,274
6. Step 6: Final answer
   x = 165,053.55