Finding the Third Proportional to 175,446 and 378,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,446 : 378,472.50 = 378,472.50 : x
2. Step 2: Convert to fraction form
   175,446/378,472.50 = 378,472.50/x
3. Step 3: Cross multiply
   175,446x = 378,472.50 × 378,472.50
4. Step 4: Simplify right side
   175,446x = 143,241,433,256.25
5. Step 5: Solve for x
   x = 143,241,433,256.25/175,446
6. Step 6: Final answer
   x = 816,441.72