Finding the Third Proportional to 313,576 and 471,070.50

Step by Step Solution

1. Step 1: Write the proportion equation
   313,576 : 471,070.50 = 471,070.50 : x
2. Step 2: Convert to fraction form
   313,576/471,070.50 = 471,070.50/x
3. Step 3: Cross multiply
   313,576x = 471,070.50 × 471,070.50
4. Step 4: Simplify right side
   313,576x = 221,907,415,970.25
5. Step 5: Solve for x
   x = 221,907,415,970.25/313,576
6. Step 6: Final answer
   x = 707,667.09