Finding the Third Proportional to 131,569 and 204,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,569 : 204,094.50 = 204,094.50 : x
2. Step 2: Convert to fraction form
   131,569/204,094.50 = 204,094.50/x
3. Step 3: Cross multiply
   131,569x = 204,094.50 × 204,094.50
4. Step 4: Simplify right side
   131,569x = 41,654,564,930.25
5. Step 5: Solve for x
   x = 41,654,564,930.25/131,569
6. Step 6: Final answer
   x = 316,598.63