Finding the Third Proportional to 242,737.50 and 376,886

Step by Step Solution

1. Step 1: Write the proportion equation
   242,737.50 : 376,886 = 376,886 : x
2. Step 2: Convert to fraction form
   242,737.50/376,886 = 376,886/x
3. Step 3: Cross multiply
   242,737.50x = 376,886 × 376,886
4. Step 4: Simplify right side
   242,737.50x = 142,043,056,996
5. Step 5: Solve for x
   x = 142,043,056,996/242,737.50
6. Step 6: Final answer
   x = 585,171.46