Finding the Third Proportional to 37,740 and 78,578

Step by Step Solution

1. Step 1: Write the proportion equation
   37,740 : 78,578 = 78,578 : x
2. Step 2: Convert to fraction form
   37,740/78,578 = 78,578/x
3. Step 3: Cross multiply
   37,740x = 78,578 × 78,578
4. Step 4: Simplify right side
   37,740x = 6,174,502,084
5. Step 5: Solve for x
   x = 6,174,502,084/37,740
6. Step 6: Final answer
   x = 163,606.31