Finding the Third Proportional to 146,878.50 and 198,174

Step by Step Solution

1. Step 1: Write the proportion equation
   146,878.50 : 198,174 = 198,174 : x
2. Step 2: Convert to fraction form
   146,878.50/198,174 = 198,174/x
3. Step 3: Cross multiply
   146,878.50x = 198,174 × 198,174
4. Step 4: Simplify right side
   146,878.50x = 39,272,934,276
5. Step 5: Solve for x
   x = 39,272,934,276/146,878.50
6. Step 6: Final answer
   x = 267,383.82