Finding the Third Proportional to 38,180 and 83,888

Step by Step Solution

1. Step 1: Write the proportion equation
   38,180 : 83,888 = 83,888 : x
2. Step 2: Convert to fraction form
   38,180/83,888 = 83,888/x
3. Step 3: Cross multiply
   38,180x = 83,888 × 83,888
4. Step 4: Simplify right side
   38,180x = 7,037,196,544
5. Step 5: Solve for x
   x = 7,037,196,544/38,180
6. Step 6: Final answer
   x = 184,316.31