Finding the Third Proportional to 191,680 and 415,940

Step by Step Solution

1. Step 1: Write the proportion equation
   191,680 : 415,940 = 415,940 : x
2. Step 2: Convert to fraction form
   191,680/415,940 = 415,940/x
3. Step 3: Cross multiply
   191,680x = 415,940 × 415,940
4. Step 4: Simplify right side
   191,680x = 173,006,083,600
5. Step 5: Solve for x
   x = 173,006,083,600/191,680
6. Step 6: Final answer
   x = 902,577.65