Finding the Third Proportional to 181,278 and 259,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,278 : 259,699.50 = 259,699.50 : x
2. Step 2: Convert to fraction form
   181,278/259,699.50 = 259,699.50/x
3. Step 3: Cross multiply
   181,278x = 259,699.50 × 259,699.50
4. Step 4: Simplify right side
   181,278x = 67,443,830,300.25
5. Step 5: Solve for x
   x = 67,443,830,300.25/181,278
6. Step 6: Final answer
   x = 372,046.42