Finding the Third Proportional to 123,397.50 and 186,615

Step by Step Solution

1. Step 1: Write the proportion equation
   123,397.50 : 186,615 = 186,615 : x
2. Step 2: Convert to fraction form
   123,397.50/186,615 = 186,615/x
3. Step 3: Cross multiply
   123,397.50x = 186,615 × 186,615
4. Step 4: Simplify right side
   123,397.50x = 34,825,158,225
5. Step 5: Solve for x
   x = 34,825,158,225/123,397.50
6. Step 6: Final answer
   x = 282,219.32