Finding the Third Proportional to 185,274 and 377,094

Step by Step Solution

1. Step 1: Write the proportion equation
   185,274 : 377,094 = 377,094 : x
2. Step 2: Convert to fraction form
   185,274/377,094 = 377,094/x
3. Step 3: Cross multiply
   185,274x = 377,094 × 377,094
4. Step 4: Simplify right side
   185,274x = 142,199,884,836
5. Step 5: Solve for x
   x = 142,199,884,836/185,274
6. Step 6: Final answer
   x = 767,511.28