Finding the Third Proportional to 37,912 and 78,256

Step by Step Solution

1. Step 1: Write the proportion equation
   37,912 : 78,256 = 78,256 : x
2. Step 2: Convert to fraction form
   37,912/78,256 = 78,256/x
3. Step 3: Cross multiply
   37,912x = 78,256 × 78,256
4. Step 4: Simplify right side
   37,912x = 6,124,001,536
5. Step 5: Solve for x
   x = 6,124,001,536/37,912
6. Step 6: Final answer
   x = 161,532.01