Finding the Third Proportional to 458,082 and 692,144

Step by Step Solution

1. Step 1: Write the proportion equation
   458,082 : 692,144 = 692,144 : x
2. Step 2: Convert to fraction form
   458,082/692,144 = 692,144/x
3. Step 3: Cross multiply
   458,082x = 692,144 × 692,144
4. Step 4: Simplify right side
   458,082x = 479,063,316,736
5. Step 5: Solve for x
   x = 479,063,316,736/458,082
6. Step 6: Final answer
   x = 1,045,802.53