Finding the Third Proportional to 138,528 and 298,429

Step by Step Solution

1. Step 1: Write the proportion equation
   138,528 : 298,429 = 298,429 : x
2. Step 2: Convert to fraction form
   138,528/298,429 = 298,429/x
3. Step 3: Cross multiply
   138,528x = 298,429 × 298,429
4. Step 4: Simplify right side
   138,528x = 89,059,868,041
5. Step 5: Solve for x
   x = 89,059,868,041/138,528
6. Step 6: Final answer
   x = 642,901.57