Finding the Third Proportional to 304,641 and 471,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   304,641 : 471,472.50 = 471,472.50 : x
2. Step 2: Convert to fraction form
   304,641/471,472.50 = 471,472.50/x
3. Step 3: Cross multiply
   304,641x = 471,472.50 × 471,472.50
4. Step 4: Simplify right side
   304,641x = 222,286,318,256.25
5. Step 5: Solve for x
   x = 222,286,318,256.25/304,641
6. Step 6: Final answer
   x = 729,666.45