Finding the Third Proportional to 66,601.31 and 142,702.50

Step by Step Solution

1. Step 1: Write the proportion equation
   66,601.31 : 142,702.50 = 142,702.50 : x
2. Step 2: Convert to fraction form
   66,601.31/142,702.50 = 142,702.50/x
3. Step 3: Cross multiply
   66,601.31x = 142,702.50 × 142,702.50
4. Step 4: Simplify right side
   66,601.31x = 20,364,003,506.25
5. Step 5: Solve for x
   x = 20,364,003,506.25/66,601.31
6. Step 6: Final answer
   x = 305,759.79