Finding the Third Proportional to 378,379 and 566,525.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,379 : 566,525.50 = 566,525.50 : x
2. Step 2: Convert to fraction form
   378,379/566,525.50 = 566,525.50/x
3. Step 3: Cross multiply
   378,379x = 566,525.50 × 566,525.50
4. Step 4: Simplify right side
   378,379x = 320,951,142,150.25
5. Step 5: Solve for x
   x = 320,951,142,150.25/378,379
6. Step 6: Final answer
   x = 848,226.63