Finding the Third Proportional to 88,640 and 194,503

Step by Step Solution

1. Step 1: Write the proportion equation
   88,640 : 194,503 = 194,503 : x
2. Step 2: Convert to fraction form
   88,640/194,503 = 194,503/x
3. Step 3: Cross multiply
   88,640x = 194,503 × 194,503
4. Step 4: Simplify right side
   88,640x = 37,831,417,009
5. Step 5: Solve for x
   x = 37,831,417,009/88,640
6. Step 6: Final answer
   x = 426,798.48