Finding the Third Proportional to 208,065.50 and 314,285

Step by Step Solution

1. Step 1: Write the proportion equation
   208,065.50 : 314,285 = 314,285 : x
2. Step 2: Convert to fraction form
   208,065.50/314,285 = 314,285/x
3. Step 3: Cross multiply
   208,065.50x = 314,285 × 314,285
4. Step 4: Simplify right side
   208,065.50x = 98,775,061,225
5. Step 5: Solve for x
   x = 98,775,061,225/208,065.50
6. Step 6: Final answer
   x = 474,730.61