Finding the Third Proportional to 141,648 and 309,072

Step by Step Solution

1. Step 1: Write the proportion equation
   141,648 : 309,072 = 309,072 : x
2. Step 2: Convert to fraction form
   141,648/309,072 = 309,072/x
3. Step 3: Cross multiply
   141,648x = 309,072 × 309,072
4. Step 4: Simplify right side
   141,648x = 95,525,501,184
5. Step 5: Solve for x
   x = 95,525,501,184/141,648
6. Step 6: Final answer
   x = 674,386.52