Finding the Third Proportional to 40,264 and 85,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,264 : 85,725.50 = 85,725.50 : x
2. Step 2: Convert to fraction form
   40,264/85,725.50 = 85,725.50/x
3. Step 3: Cross multiply
   40,264x = 85,725.50 × 85,725.50
4. Step 4: Simplify right side
   40,264x = 7,348,861,350.25
5. Step 5: Solve for x
   x = 7,348,861,350.25/40,264
6. Step 6: Final answer
   x = 182,516.92