Finding the Third Proportional to 271,278 and 397,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,278 : 397,156.50 = 397,156.50 : x
2. Step 2: Convert to fraction form
   271,278/397,156.50 = 397,156.50/x
3. Step 3: Cross multiply
   271,278x = 397,156.50 × 397,156.50
4. Step 4: Simplify right side
   271,278x = 157,733,285,492.25
5. Step 5: Solve for x
   x = 157,733,285,492.25/271,278
6. Step 6: Final answer
   x = 581,445.18