Finding the Third Proportional to 242,353 and 370,090.50

Step by Step Solution

1. Step 1: Write the proportion equation
   242,353 : 370,090.50 = 370,090.50 : x
2. Step 2: Convert to fraction form
   242,353/370,090.50 = 370,090.50/x
3. Step 3: Cross multiply
   242,353x = 370,090.50 × 370,090.50
4. Step 4: Simplify right side
   242,353x = 136,966,978,190.25
5. Step 5: Solve for x
   x = 136,966,978,190.25/242,353
6. Step 6: Final answer
   x = 565,154.87