Finding the Third Proportional to 301,333.50 and 455,886

Step by Step Solution

1. Step 1: Write the proportion equation
   301,333.50 : 455,886 = 455,886 : x
2. Step 2: Convert to fraction form
   301,333.50/455,886 = 455,886/x
3. Step 3: Cross multiply
   301,333.50x = 455,886 × 455,886
4. Step 4: Simplify right side
   301,333.50x = 207,832,044,996
5. Step 5: Solve for x
   x = 207,832,044,996/301,333.50
6. Step 6: Final answer
   x = 689,707.73