Finding the Third Proportional to 37,858 and 78,820

Step by Step Solution

1. Step 1: Write the proportion equation
   37,858 : 78,820 = 78,820 : x
2. Step 2: Convert to fraction form
   37,858/78,820 = 78,820/x
3. Step 3: Cross multiply
   37,858x = 78,820 × 78,820
4. Step 4: Simplify right side
   37,858x = 6,212,592,400
5. Step 5: Solve for x
   x = 6,212,592,400/37,858
6. Step 6: Final answer
   x = 164,102.50