Finding the Third Proportional to 175,158 and 271,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,158 : 271,768.50 = 271,768.50 : x
2. Step 2: Convert to fraction form
   175,158/271,768.50 = 271,768.50/x
3. Step 3: Cross multiply
   175,158x = 271,768.50 × 271,768.50
4. Step 4: Simplify right side
   175,158x = 73,858,117,592.25
5. Step 5: Solve for x
   x = 73,858,117,592.25/175,158
6. Step 6: Final answer
   x = 421,665.68