Finding the Third Proportional to 37,868 and 78,200

Step by Step Solution

1. Step 1: Write the proportion equation
   37,868 : 78,200 = 78,200 : x
2. Step 2: Convert to fraction form
   37,868/78,200 = 78,200/x
3. Step 3: Cross multiply
   37,868x = 78,200 × 78,200
4. Step 4: Simplify right side
   37,868x = 6,115,240,000
5. Step 5: Solve for x
   x = 6,115,240,000/37,868
6. Step 6: Final answer
   x = 161,488.33