Finding the Third Proportional to 78,390 and 185,019

Step by Step Solution

1. Step 1: Write the proportion equation
   78,390 : 185,019 = 185,019 : x
2. Step 2: Convert to fraction form
   78,390/185,019 = 185,019/x
3. Step 3: Cross multiply
   78,390x = 185,019 × 185,019
4. Step 4: Simplify right side
   78,390x = 34,232,030,361
5. Step 5: Solve for x
   x = 34,232,030,361/78,390
6. Step 6: Final answer
   x = 436,688.74