Finding the Third Proportional to 88,746 and 194,502

Step by Step Solution

1. Step 1: Write the proportion equation
   88,746 : 194,502 = 194,502 : x
2. Step 2: Convert to fraction form
   88,746/194,502 = 194,502/x
3. Step 3: Cross multiply
   88,746x = 194,502 × 194,502
4. Step 4: Simplify right side
   88,746x = 37,831,028,004
5. Step 5: Solve for x
   x = 37,831,028,004/88,746
6. Step 6: Final answer
   x = 426,284.32