Finding the Third Proportional to 193,680 and 284,611.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,680 : 284,611.50 = 284,611.50 : x
2. Step 2: Convert to fraction form
   193,680/284,611.50 = 284,611.50/x
3. Step 3: Cross multiply
   193,680x = 284,611.50 × 284,611.50
4. Step 4: Simplify right side
   193,680x = 81,003,705,932.25
5. Step 5: Solve for x
   x = 81,003,705,932.25/193,680
6. Step 6: Final answer
   x = 418,234.75