Finding the Third Proportional to 37,203 and 78,039

Step by Step Solution

1. Step 1: Write the proportion equation
   37,203 : 78,039 = 78,039 : x
2. Step 2: Convert to fraction form
   37,203/78,039 = 78,039/x
3. Step 3: Cross multiply
   37,203x = 78,039 × 78,039
4. Step 4: Simplify right side
   37,203x = 6,090,085,521
5. Step 5: Solve for x
   x = 6,090,085,521/37,203
6. Step 6: Final answer
   x = 163,698.77