Finding the Third Proportional to 101,615 and 155,074

Step by Step Solution

1. Step 1: Write the proportion equation
   101,615 : 155,074 = 155,074 : x
2. Step 2: Convert to fraction form
   101,615/155,074 = 155,074/x
3. Step 3: Cross multiply
   101,615x = 155,074 × 155,074
4. Step 4: Simplify right side
   101,615x = 24,047,945,476
5. Step 5: Solve for x
   x = 24,047,945,476/101,615
6. Step 6: Final answer
   x = 236,657.44