Finding the Third Proportional to 175,486.50 and 378,648

Step by Step Solution

1. Step 1: Write the proportion equation
   175,486.50 : 378,648 = 378,648 : x
2. Step 2: Convert to fraction form
   175,486.50/378,648 = 378,648/x
3. Step 3: Cross multiply
   175,486.50x = 378,648 × 378,648
4. Step 4: Simplify right side
   175,486.50x = 143,374,307,904
5. Step 5: Solve for x
   x = 143,374,307,904/175,486.50
6. Step 6: Final answer
   x = 817,010.47