Finding the Third Proportional to 78,384 and 185,000

Step by Step Solution

1. Step 1: Write the proportion equation
   78,384 : 185,000 = 185,000 : x
2. Step 2: Convert to fraction form
   78,384/185,000 = 185,000/x
3. Step 3: Cross multiply
   78,384x = 185,000 × 185,000
4. Step 4: Simplify right side
   78,384x = 34,225,000,000
5. Step 5: Solve for x
   x = 34,225,000,000/78,384
6. Step 6: Final answer
   x = 436,632.48