Finding the Third Proportional to 419.34 and 915.47

Step by Step Solution

1. Step 1: Write the proportion equation
   419.34 : 915.47 = 915.47 : x
2. Step 2: Convert to fraction form
   419.34/915.47 = 915.47/x
3. Step 3: Cross multiply
   419.34x = 915.47 × 915.47
4. Step 4: Simplify right side
   419.34x = 838,083.03
5. Step 5: Solve for x
   x = 838,083.03/419.34
6. Step 6: Final answer
   x = 1,998.56