Finding the Third Proportional to 377,379 and 512,788.50

Step by Step Solution

1. Step 1: Write the proportion equation
   377,379 : 512,788.50 = 512,788.50 : x
2. Step 2: Convert to fraction form
   377,379/512,788.50 = 512,788.50/x
3. Step 3: Cross multiply
   377,379x = 512,788.50 × 512,788.50
4. Step 4: Simplify right side
   377,379x = 262,952,045,732.25
5. Step 5: Solve for x
   x = 262,952,045,732.25/377,379
6. Step 6: Final answer
   x = 696,785.05