Finding the Third Proportional to 123,565.50 and 194,096.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,565.50 : 194,096.25 = 194,096.25 : x
2. Step 2: Convert to fraction form
   123,565.50/194,096.25 = 194,096.25/x
3. Step 3: Cross multiply
   123,565.50x = 194,096.25 × 194,096.25
4. Step 4: Simplify right side
   123,565.50x = 37,673,354,264.06
5. Step 5: Solve for x
   x = 37,673,354,264.06/123,565.50
6. Step 6: Final answer
   x = 304,885.70