Finding the Third Proportional to 165,463.50 and 357,171

Step by Step Solution

1. Step 1: Write the proportion equation
   165,463.50 : 357,171 = 357,171 : x
2. Step 2: Convert to fraction form
   165,463.50/357,171 = 357,171/x
3. Step 3: Cross multiply
   165,463.50x = 357,171 × 357,171
4. Step 4: Simplify right side
   165,463.50x = 127,571,123,241
5. Step 5: Solve for x
   x = 127,571,123,241/165,463.50
6. Step 6: Final answer
   x = 770,992.53