Finding the Third Proportional to 147,752 and 200,892

Step by Step Solution

1. Step 1: Write the proportion equation
   147,752 : 200,892 = 200,892 : x
2. Step 2: Convert to fraction form
   147,752/200,892 = 200,892/x
3. Step 3: Cross multiply
   147,752x = 200,892 × 200,892
4. Step 4: Simplify right side
   147,752x = 40,357,595,664
5. Step 5: Solve for x
   x = 40,357,595,664/147,752
6. Step 6: Final answer
   x = 273,144.16