Finding the Third Proportional to 37,858 and 78,144

Step by Step Solution

1. Step 1: Write the proportion equation
   37,858 : 78,144 = 78,144 : x
2. Step 2: Convert to fraction form
   37,858/78,144 = 78,144/x
3. Step 3: Cross multiply
   37,858x = 78,144 × 78,144
4. Step 4: Simplify right side
   37,858x = 6,106,484,736
5. Step 5: Solve for x
   x = 6,106,484,736/37,858
6. Step 6: Final answer
   x = 161,299.72