Finding the Third Proportional to 242,563.50 and 347,340

Step by Step Solution

1. Step 1: Write the proportion equation
   242,563.50 : 347,340 = 347,340 : x
2. Step 2: Convert to fraction form
   242,563.50/347,340 = 347,340/x
3. Step 3: Cross multiply
   242,563.50x = 347,340 × 347,340
4. Step 4: Simplify right side
   242,563.50x = 120,645,075,600
5. Step 5: Solve for x
   x = 120,645,075,600/242,563.50
6. Step 6: Final answer
   x = 497,375.23