Finding the Third Proportional to 175,848 and 378,337.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,848 : 378,337.50 = 378,337.50 : x
2. Step 2: Convert to fraction form
   175,848/378,337.50 = 378,337.50/x
3. Step 3: Cross multiply
   175,848x = 378,337.50 × 378,337.50
4. Step 4: Simplify right side
   175,848x = 143,139,263,906.25
5. Step 5: Solve for x
   x = 143,139,263,906.25/175,848
6. Step 6: Final answer
   x = 813,994.27