Finding the Third Proportional to 37,469 and 78,403

Step by Step Solution

1. Step 1: Write the proportion equation
   37,469 : 78,403 = 78,403 : x
2. Step 2: Convert to fraction form
   37,469/78,403 = 78,403/x
3. Step 3: Cross multiply
   37,469x = 78,403 × 78,403
4. Step 4: Simplify right side
   37,469x = 6,147,030,409
5. Step 5: Solve for x
   x = 6,147,030,409/37,469
6. Step 6: Final answer
   x = 164,056.43