Finding the Third Proportional to 242,802.50 and 380,886

Step by Step Solution

1. Step 1: Write the proportion equation
   242,802.50 : 380,886 = 380,886 : x
2. Step 2: Convert to fraction form
   242,802.50/380,886 = 380,886/x
3. Step 3: Cross multiply
   242,802.50x = 380,886 × 380,886
4. Step 4: Simplify right side
   242,802.50x = 145,074,144,996
5. Step 5: Solve for x
   x = 145,074,144,996/242,802.50
6. Step 6: Final answer
   x = 597,498.56