Finding the Third Proportional to 37,866 and 78,197

Step by Step Solution

1. Step 1: Write the proportion equation
   37,866 : 78,197 = 78,197 : x
2. Step 2: Convert to fraction form
   37,866/78,197 = 78,197/x
3. Step 3: Cross multiply
   37,866x = 78,197 × 78,197
4. Step 4: Simplify right side
   37,866x = 6,114,770,809
5. Step 5: Solve for x
   x = 6,114,770,809/37,866
6. Step 6: Final answer
   x = 161,484.47