Finding the Third Proportional to 137,833 and 300,278

Step by Step Solution

1. Step 1: Write the proportion equation
   137,833 : 300,278 = 300,278 : x
2. Step 2: Convert to fraction form
   137,833/300,278 = 300,278/x
3. Step 3: Cross multiply
   137,833x = 300,278 × 300,278
4. Step 4: Simplify right side
   137,833x = 90,166,877,284
5. Step 5: Solve for x
   x = 90,166,877,284/137,833
6. Step 6: Final answer
   x = 654,174.82