Finding the Third Proportional to 88,946 and 194,308

Step by Step Solution

1. Step 1: Write the proportion equation
   88,946 : 194,308 = 194,308 : x
2. Step 2: Convert to fraction form
   88,946/194,308 = 194,308/x
3. Step 3: Cross multiply
   88,946x = 194,308 × 194,308
4. Step 4: Simplify right side
   88,946x = 37,755,598,864
5. Step 5: Solve for x
   x = 37,755,598,864/88,946
6. Step 6: Final answer
   x = 424,477.76