Finding the Third Proportional to 238,289 and 371,501

Step by Step Solution

1. Step 1: Write the proportion equation
   238,289 : 371,501 = 371,501 : x
2. Step 2: Convert to fraction form
   238,289/371,501 = 371,501/x
3. Step 3: Cross multiply
   238,289x = 371,501 × 371,501
4. Step 4: Simplify right side
   238,289x = 138,012,993,001
5. Step 5: Solve for x
   x = 138,012,993,001/238,289
6. Step 6: Final answer
   x = 579,183.23