Finding the Third Proportional to 120,298.50 and 243,513

Step by Step Solution

1. Step 1: Write the proportion equation
   120,298.50 : 243,513 = 243,513 : x
2. Step 2: Convert to fraction form
   120,298.50/243,513 = 243,513/x
3. Step 3: Cross multiply
   120,298.50x = 243,513 × 243,513
4. Step 4: Simplify right side
   120,298.50x = 59,298,581,169
5. Step 5: Solve for x
   x = 59,298,581,169/120,298.50
6. Step 6: Final answer
   x = 492,928.68