Finding the Third Proportional to 333,946 and 731,564

Step by Step Solution

1. Step 1: Write the proportion equation
   333,946 : 731,564 = 731,564 : x
2. Step 2: Convert to fraction form
   333,946/731,564 = 731,564/x
3. Step 3: Cross multiply
   333,946x = 731,564 × 731,564
4. Step 4: Simplify right side
   333,946x = 535,185,886,096
5. Step 5: Solve for x
   x = 535,185,886,096/333,946
6. Step 6: Final answer
   x = 1,602,612.06