Finding the Third Proportional to 37,870 and 78,204

Step by Step Solution

1. Step 1: Write the proportion equation
   37,870 : 78,204 = 78,204 : x
2. Step 2: Convert to fraction form
   37,870/78,204 = 78,204/x
3. Step 3: Cross multiply
   37,870x = 78,204 × 78,204
4. Step 4: Simplify right side
   37,870x = 6,115,865,616
5. Step 5: Solve for x
   x = 6,115,865,616/37,870
6. Step 6: Final answer
   x = 161,496.32