Finding the Third Proportional to 1,199.81 and 1,461.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,199.81 : 1,461.80 = 1,461.80 : x
2. Step 2: Convert to fraction form
   1,199.81/1,461.80 = 1,461.80/x
3. Step 3: Cross multiply
   1,199.81x = 1,461.80 × 1,461.80
4. Step 4: Simplify right side
   1,199.81x = 2,136,850.10
5. Step 5: Solve for x
   x = 2,136,850.10/1,199.81
6. Step 6: Final answer
   x = 1,780.99