Finding the Third Proportional to 212,558 and 317,702.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,558 : 317,702.50 = 317,702.50 : x
2. Step 2: Convert to fraction form
   212,558/317,702.50 = 317,702.50/x
3. Step 3: Cross multiply
   212,558x = 317,702.50 × 317,702.50
4. Step 4: Simplify right side
   212,558x = 100,934,878,506.25
5. Step 5: Solve for x
   x = 100,934,878,506.25/212,558
6. Step 6: Final answer
   x = 474,858.06