Finding the Third Proportional to 172,094 and 377,430

Step by Step Solution

1. Step 1: Write the proportion equation
   172,094 : 377,430 = 377,430 : x
2. Step 2: Convert to fraction form
   172,094/377,430 = 377,430/x
3. Step 3: Cross multiply
   172,094x = 377,430 × 377,430
4. Step 4: Simplify right side
   172,094x = 142,453,404,900
5. Step 5: Solve for x
   x = 142,453,404,900/172,094
6. Step 6: Final answer
   x = 827,765.09