Finding the Third Proportional to 300,410 and 463,861.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,410 : 463,861.50 = 463,861.50 : x
2. Step 2: Convert to fraction form
   300,410/463,861.50 = 463,861.50/x
3. Step 3: Cross multiply
   300,410x = 463,861.50 × 463,861.50
4. Step 4: Simplify right side
   300,410x = 215,167,491,182.25
5. Step 5: Solve for x
   x = 215,167,491,182.25/300,410
6. Step 6: Final answer
   x = 716,246.10