Finding the Third Proportional to 697,644 and 1,046,466

Step by Step Solution

1. Step 1: Write the proportion equation
   697,644 : 1,046,466 = 1,046,466 : x
2. Step 2: Convert to fraction form
   697,644/1,046,466 = 1,046,466/x
3. Step 3: Cross multiply
   697,644x = 1,046,466 × 1,046,466
4. Step 4: Simplify right side
   697,644x = 1,095,091,089,156
5. Step 5: Solve for x
   x = 1,095,091,089,156/697,644
6. Step 6: Final answer
   x = 1,569,699