Finding the Third Proportional to 174,968 and 271,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,968 : 271,442.50 = 271,442.50 : x
2. Step 2: Convert to fraction form
   174,968/271,442.50 = 271,442.50/x
3. Step 3: Cross multiply
   174,968x = 271,442.50 × 271,442.50
4. Step 4: Simplify right side
   174,968x = 73,681,030,806.25
5. Step 5: Solve for x
   x = 73,681,030,806.25/174,968
6. Step 6: Final answer
   x = 421,111.46