Finding the Third Proportional to 83,010 and 114,147

Step by Step Solution

1. Step 1: Write the proportion equation
   83,010 : 114,147 = 114,147 : x
2. Step 2: Convert to fraction form
   83,010/114,147 = 114,147/x
3. Step 3: Cross multiply
   83,010x = 114,147 × 114,147
4. Step 4: Simplify right side
   83,010x = 13,029,537,609
5. Step 5: Solve for x
   x = 13,029,537,609/83,010
6. Step 6: Final answer
   x = 156,963.47