Finding the Third Proportional to 138,526 and 298,240

Step by Step Solution

1. Step 1: Write the proportion equation
   138,526 : 298,240 = 298,240 : x
2. Step 2: Convert to fraction form
   138,526/298,240 = 298,240/x
3. Step 3: Cross multiply
   138,526x = 298,240 × 298,240
4. Step 4: Simplify right side
   138,526x = 88,947,097,600
5. Step 5: Solve for x
   x = 88,947,097,600/138,526
6. Step 6: Final answer
   x = 642,096.77