Finding the Third Proportional to 78,436 and 185,014

Step by Step Solution

1. Step 1: Write the proportion equation
   78,436 : 185,014 = 185,014 : x
2. Step 2: Convert to fraction form
   78,436/185,014 = 185,014/x
3. Step 3: Cross multiply
   78,436x = 185,014 × 185,014
4. Step 4: Simplify right side
   78,436x = 34,230,180,196
5. Step 5: Solve for x
   x = 34,230,180,196/78,436
6. Step 6: Final answer
   x = 436,409.05