Finding the Third Proportional to 175,358 and 271,222

Step by Step Solution

1. Step 1: Write the proportion equation
   175,358 : 271,222 = 271,222 : x
2. Step 2: Convert to fraction form
   175,358/271,222 = 271,222/x
3. Step 3: Cross multiply
   175,358x = 271,222 × 271,222
4. Step 4: Simplify right side
   175,358x = 73,561,373,284
5. Step 5: Solve for x
   x = 73,561,373,284/175,358
6. Step 6: Final answer
   x = 419,492.54