Finding the Third Proportional to 252,264 and 368,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   252,264 : 368,680.50 = 368,680.50 : x
2. Step 2: Convert to fraction form
   252,264/368,680.50 = 368,680.50/x
3. Step 3: Cross multiply
   252,264x = 368,680.50 × 368,680.50
4. Step 4: Simplify right side
   252,264x = 135,925,311,080.25
5. Step 5: Solve for x
   x = 135,925,311,080.25/252,264
6. Step 6: Final answer
   x = 538,821.68