Finding the Third Proportional to 156,868 and 370,256

Step by Step Solution

1. Step 1: Write the proportion equation
   156,868 : 370,256 = 370,256 : x
2. Step 2: Convert to fraction form
   156,868/370,256 = 370,256/x
3. Step 3: Cross multiply
   156,868x = 370,256 × 370,256
4. Step 4: Simplify right side
   156,868x = 137,089,505,536
5. Step 5: Solve for x
   x = 137,089,505,536/156,868
6. Step 6: Final answer
   x = 873,916.32