Finding the Third Proportional to 200,364 and 423,084

Step by Step Solution

1. Step 1: Write the proportion equation
   200,364 : 423,084 = 423,084 : x
2. Step 2: Convert to fraction form
   200,364/423,084 = 423,084/x
3. Step 3: Cross multiply
   200,364x = 423,084 × 423,084
4. Step 4: Simplify right side
   200,364x = 179,000,071,056
5. Step 5: Solve for x
   x = 179,000,071,056/200,364
6. Step 6: Final answer
   x = 893,374.41