Finding the Third Proportional to 358,311 and 542,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   358,311 : 542,098.50 = 542,098.50 : x
2. Step 2: Convert to fraction form
   358,311/542,098.50 = 542,098.50/x
3. Step 3: Cross multiply
   358,311x = 542,098.50 × 542,098.50
4. Step 4: Simplify right side
   358,311x = 293,870,783,702.25
5. Step 5: Solve for x
   x = 293,870,783,702.25/358,311
6. Step 6: Final answer
   x = 820,155.63