Finding the Third Proportional to 205,714 and 272,959.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,714 : 272,959.50 = 272,959.50 : x
2. Step 2: Convert to fraction form
   205,714/272,959.50 = 272,959.50/x
3. Step 3: Cross multiply
   205,714x = 272,959.50 × 272,959.50
4. Step 4: Simplify right side
   205,714x = 74,506,888,640.25
5. Step 5: Solve for x
   x = 74,506,888,640.25/205,714
6. Step 6: Final answer
   x = 362,186.77