Finding the Third Proportional to 213,718.50 and 456,961.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,718.50 : 456,961.50 = 456,961.50 : x
2. Step 2: Convert to fraction form
   213,718.50/456,961.50 = 456,961.50/x
3. Step 3: Cross multiply
   213,718.50x = 456,961.50 × 456,961.50
4. Step 4: Simplify right side
   213,718.50x = 208,813,812,482.25
5. Step 5: Solve for x
   x = 208,813,812,482.25/213,718.50
6. Step 6: Final answer
   x = 977,050.71