Finding the Third Proportional to 270,699 and 378,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   270,699 : 378,442.50 = 378,442.50 : x
2. Step 2: Convert to fraction form
   270,699/378,442.50 = 378,442.50/x
3. Step 3: Cross multiply
   270,699x = 378,442.50 × 378,442.50
4. Step 4: Simplify right side
   270,699x = 143,218,725,806.25
5. Step 5: Solve for x
   x = 143,218,725,806.25/270,699
6. Step 6: Final answer
   x = 529,070.02