Finding the Third Proportional to 175,783 and 380,726

Step by Step Solution

1. Step 1: Write the proportion equation
   175,783 : 380,726 = 380,726 : x
2. Step 2: Convert to fraction form
   175,783/380,726 = 380,726/x
3. Step 3: Cross multiply
   175,783x = 380,726 × 380,726
4. Step 4: Simplify right side
   175,783x = 144,952,287,076
5. Step 5: Solve for x
   x = 144,952,287,076/175,783
6. Step 6: Final answer
   x = 824,609.25