Finding the Third Proportional to 42,314 and 98,384

Step by Step Solution

1. Step 1: Write the proportion equation
   42,314 : 98,384 = 98,384 : x
2. Step 2: Convert to fraction form
   42,314/98,384 = 98,384/x
3. Step 3: Cross multiply
   42,314x = 98,384 × 98,384
4. Step 4: Simplify right side
   42,314x = 9,679,411,456
5. Step 5: Solve for x
   x = 9,679,411,456/42,314
6. Step 6: Final answer
   x = 228,751.98