Finding the Third Proportional to 175,057 and 271,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,057 : 271,577.50 = 271,577.50 : x
2. Step 2: Convert to fraction form
   175,057/271,577.50 = 271,577.50/x
3. Step 3: Cross multiply
   175,057x = 271,577.50 × 271,577.50
4. Step 4: Simplify right side
   175,057x = 73,754,338,506.25
5. Step 5: Solve for x
   x = 73,754,338,506.25/175,057
6. Step 6: Final answer
   x = 421,316.13