Finding the Third Proportional to 75,722 and 117,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,722 : 117,584.50 = 117,584.50 : x
2. Step 2: Convert to fraction form
   75,722/117,584.50 = 117,584.50/x
3. Step 3: Cross multiply
   75,722x = 117,584.50 × 117,584.50
4. Step 4: Simplify right side
   75,722x = 13,826,114,640.25
5. Step 5: Solve for x
   x = 13,826,114,640.25/75,722
6. Step 6: Final answer
   x = 182,590.46