Finding the Third Proportional to 137,120 and 298,528

Step by Step Solution

1. Step 1: Write the proportion equation
   137,120 : 298,528 = 298,528 : x
2. Step 2: Convert to fraction form
   137,120/298,528 = 298,528/x
3. Step 3: Cross multiply
   137,120x = 298,528 × 298,528
4. Step 4: Simplify right side
   137,120x = 89,118,966,784
5. Step 5: Solve for x
   x = 89,118,966,784/137,120
6. Step 6: Final answer
   x = 649,934.12