Finding the Third Proportional to 242,370 and 507,012

Step by Step Solution

1. Step 1: Write the proportion equation
   242,370 : 507,012 = 507,012 : x
2. Step 2: Convert to fraction form
   242,370/507,012 = 507,012/x
3. Step 3: Cross multiply
   242,370x = 507,012 × 507,012
4. Step 4: Simplify right side
   242,370x = 257,061,168,144
5. Step 5: Solve for x
   x = 257,061,168,144/242,370
6. Step 6: Final answer
   x = 1,060,614.63