Finding the Third Proportional to 114,780 and 153,945

Step by Step Solution

1. Step 1: Write the proportion equation
   114,780 : 153,945 = 153,945 : x
2. Step 2: Convert to fraction form
   114,780/153,945 = 153,945/x
3. Step 3: Cross multiply
   114,780x = 153,945 × 153,945
4. Step 4: Simplify right side
   114,780x = 23,699,063,025
5. Step 5: Solve for x
   x = 23,699,063,025/114,780
6. Step 6: Final answer
   x = 206,473.80