Finding the Third Proportional to 103,680 and 153,333

Step by Step Solution

1. Step 1: Write the proportion equation
   103,680 : 153,333 = 153,333 : x
2. Step 2: Convert to fraction form
   103,680/153,333 = 153,333/x
3. Step 3: Cross multiply
   103,680x = 153,333 × 153,333
4. Step 4: Simplify right side
   103,680x = 23,511,008,889
5. Step 5: Solve for x
   x = 23,511,008,889/103,680
6. Step 6: Final answer
   x = 226,765.13