Finding the Third Proportional to 249,788.81 and 380,902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   249,788.81 : 380,902.50 = 380,902.50 : x
2. Step 2: Convert to fraction form
   249,788.81/380,902.50 = 380,902.50/x
3. Step 3: Cross multiply
   249,788.81x = 380,902.50 × 380,902.50
4. Step 4: Simplify right side
   249,788.81x = 145,086,714,506.25
5. Step 5: Solve for x
   x = 145,086,714,506.25/249,788.81
6. Step 6: Final answer
   x = 580,837.52