Finding the Third Proportional to 175,396.50 and 378,468

Step by Step Solution

1. Step 1: Write the proportion equation
   175,396.50 : 378,468 = 378,468 : x
2. Step 2: Convert to fraction form
   175,396.50/378,468 = 378,468/x
3. Step 3: Cross multiply
   175,396.50x = 378,468 × 378,468
4. Step 4: Simplify right side
   175,396.50x = 143,238,027,024
5. Step 5: Solve for x
   x = 143,238,027,024/175,396.50
6. Step 6: Final answer
   x = 816,652.71