Finding the Third Proportional to 100,049 and 152,615

Step by Step Solution

1. Step 1: Write the proportion equation
   100,049 : 152,615 = 152,615 : x
2. Step 2: Convert to fraction form
   100,049/152,615 = 152,615/x
3. Step 3: Cross multiply
   100,049x = 152,615 × 152,615
4. Step 4: Simplify right side
   100,049x = 23,291,338,225
5. Step 5: Solve for x
   x = 23,291,338,225/100,049
6. Step 6: Final answer
   x = 232,799.31