Finding the Third Proportional to 334,827 and 495,787.50

Step by Step Solution

1. Step 1: Write the proportion equation
   334,827 : 495,787.50 = 495,787.50 : x
2. Step 2: Convert to fraction form
   334,827/495,787.50 = 495,787.50/x
3. Step 3: Cross multiply
   334,827x = 495,787.50 × 495,787.50
4. Step 4: Simplify right side
   334,827x = 245,805,245,156.25
5. Step 5: Solve for x
   x = 245,805,245,156.25/334,827
6. Step 6: Final answer
   x = 734,126.12