Finding the Third Proportional to 185,272 and 377,105

Step by Step Solution

1. Step 1: Write the proportion equation
   185,272 : 377,105 = 377,105 : x
2. Step 2: Convert to fraction form
   185,272/377,105 = 377,105/x
3. Step 3: Cross multiply
   185,272x = 377,105 × 377,105
4. Step 4: Simplify right side
   185,272x = 142,208,181,025
5. Step 5: Solve for x
   x = 142,208,181,025/185,272
6. Step 6: Final answer
   x = 767,564.34