Finding the Third Proportional to 175,383 and 378,751.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,383 : 378,751.50 = 378,751.50 : x
2. Step 2: Convert to fraction form
   175,383/378,751.50 = 378,751.50/x
3. Step 3: Cross multiply
   175,383x = 378,751.50 × 378,751.50
4. Step 4: Simplify right side
   175,383x = 143,452,698,752.25
5. Step 5: Solve for x
   x = 143,452,698,752.25/175,383
6. Step 6: Final answer
   x = 817,939.59