Finding the Third Proportional to 131,580 and 198,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,580 : 198,553.50 = 198,553.50 : x
2. Step 2: Convert to fraction form
   131,580/198,553.50 = 198,553.50/x
3. Step 3: Cross multiply
   131,580x = 198,553.50 × 198,553.50
4. Step 4: Simplify right side
   131,580x = 39,423,492,362.25
5. Step 5: Solve for x
   x = 39,423,492,362.25/131,580
6. Step 6: Final answer
   x = 299,616.15