Finding the Third Proportional to 98,871 and 233,294

Step by Step Solution

1. Step 1: Write the proportion equation
   98,871 : 233,294 = 233,294 : x
2. Step 2: Convert to fraction form
   98,871/233,294 = 233,294/x
3. Step 3: Cross multiply
   98,871x = 233,294 × 233,294
4. Step 4: Simplify right side
   98,871x = 54,426,090,436
5. Step 5: Solve for x
   x = 54,426,090,436/98,871
6. Step 6: Final answer
   x = 550,475.78