Finding the Third Proportional to 90,726 and 185,340

Step by Step Solution

1. Step 1: Write the proportion equation
   90,726 : 185,340 = 185,340 : x
2. Step 2: Convert to fraction form
   90,726/185,340 = 185,340/x
3. Step 3: Cross multiply
   90,726x = 185,340 × 185,340
4. Step 4: Simplify right side
   90,726x = 34,350,915,600
5. Step 5: Solve for x
   x = 34,350,915,600/90,726
6. Step 6: Final answer
   x = 378,622.62