Finding the Third Proportional to 945,680 and 1,419,465

Step by Step Solution

1. Step 1: Write the proportion equation
   945,680 : 1,419,465 = 1,419,465 : x
2. Step 2: Convert to fraction form
   945,680/1,419,465 = 1,419,465/x
3. Step 3: Cross multiply
   945,680x = 1,419,465 × 1,419,465
4. Step 4: Simplify right side
   945,680x = 2,014,880,886,225
5. Step 5: Solve for x
   x = 2,014,880,886,225/945,680
6. Step 6: Final answer
   x = 2,130,615.94