Finding the Third Proportional to 97,666.50 and 198,048

Step by Step Solution

1. Step 1: Write the proportion equation
   97,666.50 : 198,048 = 198,048 : x
2. Step 2: Convert to fraction form
   97,666.50/198,048 = 198,048/x
3. Step 3: Cross multiply
   97,666.50x = 198,048 × 198,048
4. Step 4: Simplify right side
   97,666.50x = 39,223,010,304
5. Step 5: Solve for x
   x = 39,223,010,304/97,666.50
6. Step 6: Final answer
   x = 401,601.47