Finding the Third Proportional to 433,044 and 680,264

Step by Step Solution

1. Step 1: Write the proportion equation
   433,044 : 680,264 = 680,264 : x
2. Step 2: Convert to fraction form
   433,044/680,264 = 680,264/x
3. Step 3: Cross multiply
   433,044x = 680,264 × 680,264
4. Step 4: Simplify right side
   433,044x = 462,759,109,696
5. Step 5: Solve for x
   x = 462,759,109,696/433,044
6. Step 6: Final answer
   x = 1,068,619.15