Finding the Third Proportional to 40,702.50 and 84,827.25

Step by Step Solution

1. Step 1: Write the proportion equation
   40,702.50 : 84,827.25 = 84,827.25 : x
2. Step 2: Convert to fraction form
   40,702.50/84,827.25 = 84,827.25/x
3. Step 3: Cross multiply
   40,702.50x = 84,827.25 × 84,827.25
4. Step 4: Simplify right side
   40,702.50x = 7,195,662,342.56
5. Step 5: Solve for x
   x = 7,195,662,342.56/40,702.50
6. Step 6: Final answer
   x = 176,786.74