Finding the Third Proportional to 113,763 and 153,148

Step by Step Solution

1. Step 1: Write the proportion equation
   113,763 : 153,148 = 153,148 : x
2. Step 2: Convert to fraction form
   113,763/153,148 = 153,148/x
3. Step 3: Cross multiply
   113,763x = 153,148 × 153,148
4. Step 4: Simplify right side
   113,763x = 23,454,309,904
5. Step 5: Solve for x
   x = 23,454,309,904/113,763
6. Step 6: Final answer
   x = 206,168.17