Finding the Third Proportional to 78,432 and 185,004

Step by Step Solution

1. Step 1: Write the proportion equation
   78,432 : 185,004 = 185,004 : x
2. Step 2: Convert to fraction form
   78,432/185,004 = 185,004/x
3. Step 3: Cross multiply
   78,432x = 185,004 × 185,004
4. Step 4: Simplify right side
   78,432x = 34,226,480,016
5. Step 5: Solve for x
   x = 34,226,480,016/78,432
6. Step 6: Final answer
   x = 436,384.13