Finding the Third Proportional to 93,664 and 200,726

Step by Step Solution

1. Step 1: Write the proportion equation
   93,664 : 200,726 = 200,726 : x
2. Step 2: Convert to fraction form
   93,664/200,726 = 200,726/x
3. Step 3: Cross multiply
   93,664x = 200,726 × 200,726
4. Step 4: Simplify right side
   93,664x = 40,290,927,076
5. Step 5: Solve for x
   x = 40,290,927,076/93,664
6. Step 6: Final answer
   x = 430,164.49