Finding the Third Proportional to 194,382 and 290,073.75

Step by Step Solution

1. Step 1: Write the proportion equation
   194,382 : 290,073.75 = 290,073.75 : x
2. Step 2: Convert to fraction form
   194,382/290,073.75 = 290,073.75/x
3. Step 3: Cross multiply
   194,382x = 290,073.75 × 290,073.75
4. Step 4: Simplify right side
   194,382x = 84,142,780,439.06
5. Step 5: Solve for x
   x = 84,142,780,439.06/194,382
6. Step 6: Final answer
   x = 432,873.31