Finding the Third Proportional to 385,874.50 and 827,123

Step by Step Solution

1. Step 1: Write the proportion equation
   385,874.50 : 827,123 = 827,123 : x
2. Step 2: Convert to fraction form
   385,874.50/827,123 = 827,123/x
3. Step 3: Cross multiply
   385,874.50x = 827,123 × 827,123
4. Step 4: Simplify right side
   385,874.50x = 684,132,457,129
5. Step 5: Solve for x
   x = 684,132,457,129/385,874.50
6. Step 6: Final answer
   x = 1,772,940.31