Finding the Third Proportional to 301,734 and 455,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,734 : 455,674.50 = 455,674.50 : x
2. Step 2: Convert to fraction form
   301,734/455,674.50 = 455,674.50/x
3. Step 3: Cross multiply
   301,734x = 455,674.50 × 455,674.50
4. Step 4: Simplify right side
   301,734x = 207,639,249,950.25
5. Step 5: Solve for x
   x = 207,639,249,950.25/301,734
6. Step 6: Final answer
   x = 688,153.31