Finding the Third Proportional to 185,763 and 407,123

Step by Step Solution

1. Step 1: Write the proportion equation
   185,763 : 407,123 = 407,123 : x
2. Step 2: Convert to fraction form
   185,763/407,123 = 407,123/x
3. Step 3: Cross multiply
   185,763x = 407,123 × 407,123
4. Step 4: Simplify right side
   185,763x = 165,749,137,129
5. Step 5: Solve for x
   x = 165,749,137,129/185,763
6. Step 6: Final answer
   x = 892,261.31