Finding the Third Proportional to 109,449 and 178,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,449 : 178,699.50 = 178,699.50 : x
2. Step 2: Convert to fraction form
   109,449/178,699.50 = 178,699.50/x
3. Step 3: Cross multiply
   109,449x = 178,699.50 × 178,699.50
4. Step 4: Simplify right side
   109,449x = 31,933,511,300.25
5. Step 5: Solve for x
   x = 31,933,511,300.25/109,449
6. Step 6: Final answer
   x = 291,766.13