Finding the Third Proportional to 189,196.50 and 281,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,196.50 : 281,098.50 = 281,098.50 : x
2. Step 2: Convert to fraction form
   189,196.50/281,098.50 = 281,098.50/x
3. Step 3: Cross multiply
   189,196.50x = 281,098.50 × 281,098.50
4. Step 4: Simplify right side
   189,196.50x = 79,016,366,702.25
5. Step 5: Solve for x
   x = 79,016,366,702.25/189,196.50
6. Step 6: Final answer
   x = 417,641.80