Finding the Third Proportional to 201,667.50 and 442,702.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,667.50 : 442,702.50 = 442,702.50 : x
2. Step 2: Convert to fraction form
   201,667.50/442,702.50 = 442,702.50/x
3. Step 3: Cross multiply
   201,667.50x = 442,702.50 × 442,702.50
4. Step 4: Simplify right side
   201,667.50x = 195,985,503,506.25
5. Step 5: Solve for x
   x = 195,985,503,506.25/201,667.50
6. Step 6: Final answer
   x = 971,824.93