Finding the Third Proportional to 316,659 and 495,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   316,659 : 495,724.50 = 495,724.50 : x
2. Step 2: Convert to fraction form
   316,659/495,724.50 = 495,724.50/x
3. Step 3: Cross multiply
   316,659x = 495,724.50 × 495,724.50
4. Step 4: Simplify right side
   316,659x = 245,742,779,900.25
5. Step 5: Solve for x
   x = 245,742,779,900.25/316,659
6. Step 6: Final answer
   x = 776,048.62