Finding the Third Proportional to 242,343 and 402,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   242,343 : 402,496.50 = 402,496.50 : x
2. Step 2: Convert to fraction form
   242,343/402,496.50 = 402,496.50/x
3. Step 3: Cross multiply
   242,343x = 402,496.50 × 402,496.50
4. Step 4: Simplify right side
   242,343x = 162,003,432,512.25
5. Step 5: Solve for x
   x = 162,003,432,512.25/242,343
6. Step 6: Final answer
   x = 668,488.19