Finding the Third Proportional to 102,463.75 and 209,985

Step by Step Solution

1. Step 1: Write the proportion equation
   102,463.75 : 209,985 = 209,985 : x
2. Step 2: Convert to fraction form
   102,463.75/209,985 = 209,985/x
3. Step 3: Cross multiply
   102,463.75x = 209,985 × 209,985
4. Step 4: Simplify right side
   102,463.75x = 44,093,700,225
5. Step 5: Solve for x
   x = 44,093,700,225/102,463.75
6. Step 6: Final answer
   x = 430,334.63