Finding the Third Proportional to 194,932.50 and 293,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,932.50 : 293,839.50 = 293,839.50 : x
2. Step 2: Convert to fraction form
   194,932.50/293,839.50 = 293,839.50/x
3. Step 3: Cross multiply
   194,932.50x = 293,839.50 × 293,839.50
4. Step 4: Simplify right side
   194,932.50x = 86,341,651,760.25
5. Step 5: Solve for x
   x = 86,341,651,760.25/194,932.50
6. Step 6: Final answer
   x = 442,931.02