Finding the Third Proportional to 137,023 and 298,947

Step by Step Solution

1. Step 1: Write the proportion equation
   137,023 : 298,947 = 298,947 : x
2. Step 2: Convert to fraction form
   137,023/298,947 = 298,947/x
3. Step 3: Cross multiply
   137,023x = 298,947 × 298,947
4. Step 4: Simplify right side
   137,023x = 89,369,308,809
5. Step 5: Solve for x
   x = 89,369,308,809/137,023
6. Step 6: Final answer
   x = 652,221.22