Finding the Third Proportional to 684,561 and 1,064,178

Step by Step Solution

1. Step 1: Write the proportion equation
   684,561 : 1,064,178 = 1,064,178 : x
2. Step 2: Convert to fraction form
   684,561/1,064,178 = 1,064,178/x
3. Step 3: Cross multiply
   684,561x = 1,064,178 × 1,064,178
4. Step 4: Simplify right side
   684,561x = 1,132,474,815,684
5. Step 5: Solve for x
   x = 1,132,474,815,684/684,561
6. Step 6: Final answer
   x = 1,654,308.11