Finding the Third Proportional to 172,649 and 377,319.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,649 : 377,319.50 = 377,319.50 : x
2. Step 2: Convert to fraction form
   172,649/377,319.50 = 377,319.50/x
3. Step 3: Cross multiply
   172,649x = 377,319.50 × 377,319.50
4. Step 4: Simplify right side
   172,649x = 142,370,005,080.25
5. Step 5: Solve for x
   x = 142,370,005,080.25/172,649
6. Step 6: Final answer
   x = 824,621.08