Finding the Third Proportional to 135,726 and 187,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,726 : 187,546.50 = 187,546.50 : x
2. Step 2: Convert to fraction form
   135,726/187,546.50 = 187,546.50/x
3. Step 3: Cross multiply
   135,726x = 187,546.50 × 187,546.50
4. Step 4: Simplify right side
   135,726x = 35,173,689,662.25
5. Step 5: Solve for x
   x = 35,173,689,662.25/135,726
6. Step 6: Final answer
   x = 259,152.19