Finding the Third Proportional to 36,636 and 78,454

Step by Step Solution

1. Step 1: Write the proportion equation
   36,636 : 78,454 = 78,454 : x
2. Step 2: Convert to fraction form
   36,636/78,454 = 78,454/x
3. Step 3: Cross multiply
   36,636x = 78,454 × 78,454
4. Step 4: Simplify right side
   36,636x = 6,155,030,116
5. Step 5: Solve for x
   x = 6,155,030,116/36,636
6. Step 6: Final answer
   x = 168,004.97