Finding the Third Proportional to 38,186 and 83,898

Step by Step Solution

1. Step 1: Write the proportion equation
   38,186 : 83,898 = 83,898 : x
2. Step 2: Convert to fraction form
   38,186/83,898 = 83,898/x
3. Step 3: Cross multiply
   38,186x = 83,898 × 83,898
4. Step 4: Simplify right side
   38,186x = 7,038,874,404
5. Step 5: Solve for x
   x = 7,038,874,404/38,186
6. Step 6: Final answer
   x = 184,331.28