Finding the Third Proportional to 686,946 and 1,468,428

Step by Step Solution

1. Step 1: Write the proportion equation
   686,946 : 1,468,428 = 1,468,428 : x
2. Step 2: Convert to fraction form
   686,946/1,468,428 = 1,468,428/x
3. Step 3: Cross multiply
   686,946x = 1,468,428 × 1,468,428
4. Step 4: Simplify right side
   686,946x = 2,156,280,791,184
5. Step 5: Solve for x
   x = 2,156,280,791,184/686,946
6. Step 6: Final answer
   x = 3,138,937.84