Finding the Third Proportional to 172,523.25 and 377,031.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,523.25 : 377,031.50 = 377,031.50 : x
2. Step 2: Convert to fraction form
   172,523.25/377,031.50 = 377,031.50/x
3. Step 3: Cross multiply
   172,523.25x = 377,031.50 × 377,031.50
4. Step 4: Simplify right side
   172,523.25x = 142,152,751,992.25
5. Step 5: Solve for x
   x = 142,152,751,992.25/172,523.25
6. Step 6: Final answer
   x = 823,962.87