Finding the Third Proportional to 181,782 and 372,379.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,782 : 372,379.50 = 372,379.50 : x
2. Step 2: Convert to fraction form
   181,782/372,379.50 = 372,379.50/x
3. Step 3: Cross multiply
   181,782x = 372,379.50 × 372,379.50
4. Step 4: Simplify right side
   181,782x = 138,666,492,020.25
5. Step 5: Solve for x
   x = 138,666,492,020.25/181,782
6. Step 6: Final answer
   x = 762,817.51