Finding the Third Proportional to 243,364 and 376,662

Step by Step Solution

1. Step 1: Write the proportion equation
   243,364 : 376,662 = 376,662 : x
2. Step 2: Convert to fraction form
   243,364/376,662 = 376,662/x
3. Step 3: Cross multiply
   243,364x = 376,662 × 376,662
4. Step 4: Simplify right side
   243,364x = 141,874,262,244
5. Step 5: Solve for x
   x = 141,874,262,244/243,364
6. Step 6: Final answer
   x = 582,971.44