Finding the Third Proportional to 37,109 and 78,646

Step by Step Solution

1. Step 1: Write the proportion equation
   37,109 : 78,646 = 78,646 : x
2. Step 2: Convert to fraction form
   37,109/78,646 = 78,646/x
3. Step 3: Cross multiply
   37,109x = 78,646 × 78,646
4. Step 4: Simplify right side
   37,109x = 6,185,193,316
5. Step 5: Solve for x
   x = 6,185,193,316/37,109
6. Step 6: Final answer
   x = 166,676.37