Finding the Third Proportional to 69,152 and 156,256

Step by Step Solution

1. Step 1: Write the proportion equation
   69,152 : 156,256 = 156,256 : x
2. Step 2: Convert to fraction form
   69,152/156,256 = 156,256/x
3. Step 3: Cross multiply
   69,152x = 156,256 × 156,256
4. Step 4: Simplify right side
   69,152x = 24,415,937,536
5. Step 5: Solve for x
   x = 24,415,937,536/69,152
6. Step 6: Final answer
   x = 353,076.38