Finding the Third Proportional to 138,470 and 298,158

Step by Step Solution

1. Step 1: Write the proportion equation
   138,470 : 298,158 = 298,158 : x
2. Step 2: Convert to fraction form
   138,470/298,158 = 298,158/x
3. Step 3: Cross multiply
   138,470x = 298,158 × 298,158
4. Step 4: Simplify right side
   138,470x = 88,898,192,964
5. Step 5: Solve for x
   x = 88,898,192,964/138,470
6. Step 6: Final answer
   x = 642,003.27