Finding the Third Proportional to 206,887 and 316,346.50

Step by Step Solution

1. Step 1: Write the proportion equation
   206,887 : 316,346.50 = 316,346.50 : x
2. Step 2: Convert to fraction form
   206,887/316,346.50 = 316,346.50/x
3. Step 3: Cross multiply
   206,887x = 316,346.50 × 316,346.50
4. Step 4: Simplify right side
   206,887x = 100,075,108,062.25
5. Step 5: Solve for x
   x = 100,075,108,062.25/206,887
6. Step 6: Final answer
   x = 483,718.69