Finding the Third Proportional to 78,422 and 185,099

Step by Step Solution

1. Step 1: Write the proportion equation
   78,422 : 185,099 = 185,099 : x
2. Step 2: Convert to fraction form
   78,422/185,099 = 185,099/x
3. Step 3: Cross multiply
   78,422x = 185,099 × 185,099
4. Step 4: Simplify right side
   78,422x = 34,261,639,801
5. Step 5: Solve for x
   x = 34,261,639,801/78,422
6. Step 6: Final answer
   x = 436,888.12