Finding the Third Proportional to 193,536 and 284,611.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,536 : 284,611.50 = 284,611.50 : x
2. Step 2: Convert to fraction form
   193,536/284,611.50 = 284,611.50/x
3. Step 3: Cross multiply
   193,536x = 284,611.50 × 284,611.50
4. Step 4: Simplify right side
   193,536x = 81,003,705,932.25
5. Step 5: Solve for x
   x = 81,003,705,932.25/193,536
6. Step 6: Final answer
   x = 418,545.93