Finding the Third Proportional to 194,760.50 and 293,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,760.50 : 293,422.50 = 293,422.50 : x
2. Step 2: Convert to fraction form
   194,760.50/293,422.50 = 293,422.50/x
3. Step 3: Cross multiply
   194,760.50x = 293,422.50 × 293,422.50
4. Step 4: Simplify right side
   194,760.50x = 86,096,763,506.25
5. Step 5: Solve for x
   x = 86,096,763,506.25/194,760.50
6. Step 6: Final answer
   x = 442,064.81