Finding the Third Proportional to 113,770 and 153,156

Step by Step Solution

1. Step 1: Write the proportion equation
   113,770 : 153,156 = 153,156 : x
2. Step 2: Convert to fraction form
   113,770/153,156 = 153,156/x
3. Step 3: Cross multiply
   113,770x = 153,156 × 153,156
4. Step 4: Simplify right side
   113,770x = 23,456,760,336
5. Step 5: Solve for x
   x = 23,456,760,336/113,770
6. Step 6: Final answer
   x = 206,177.03