Finding the Third Proportional to 72,085 and 114,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,085 : 114,789.50 = 114,789.50 : x
2. Step 2: Convert to fraction form
   72,085/114,789.50 = 114,789.50/x
3. Step 3: Cross multiply
   72,085x = 114,789.50 × 114,789.50
4. Step 4: Simplify right side
   72,085x = 13,176,629,310.25
5. Step 5: Solve for x
   x = 13,176,629,310.25/72,085
6. Step 6: Final answer
   x = 182,792.94