Finding the Third Proportional to 333,174 and 749,967

Step by Step Solution

1. Step 1: Write the proportion equation
   333,174 : 749,967 = 749,967 : x
2. Step 2: Convert to fraction form
   333,174/749,967 = 749,967/x
3. Step 3: Cross multiply
   333,174x = 749,967 × 749,967
4. Step 4: Simplify right side
   333,174x = 562,450,501,089
5. Step 5: Solve for x
   x = 562,450,501,089/333,174
6. Step 6: Final answer
   x = 1,688,158.44