Finding the Third Proportional to 37,866 and 78,196

Step by Step Solution

1. Step 1: Write the proportion equation
   37,866 : 78,196 = 78,196 : x
2. Step 2: Convert to fraction form
   37,866/78,196 = 78,196/x
3. Step 3: Cross multiply
   37,866x = 78,196 × 78,196
4. Step 4: Simplify right side
   37,866x = 6,114,614,416
5. Step 5: Solve for x
   x = 6,114,614,416/37,866
6. Step 6: Final answer
   x = 161,480.34