Finding the Third Proportional to 242,974 and 359,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   242,974 : 359,678.50 = 359,678.50 : x
2. Step 2: Convert to fraction form
   242,974/359,678.50 = 359,678.50/x
3. Step 3: Cross multiply
   242,974x = 359,678.50 × 359,678.50
4. Step 4: Simplify right side
   242,974x = 129,368,623,362.25
5. Step 5: Solve for x
   x = 129,368,623,362.25/242,974
6. Step 6: Final answer
   x = 532,438.13