Finding the Third Proportional to 89,185.50 and 134,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,185.50 : 134,534.50 = 134,534.50 : x
2. Step 2: Convert to fraction form
   89,185.50/134,534.50 = 134,534.50/x
3. Step 3: Cross multiply
   89,185.50x = 134,534.50 × 134,534.50
4. Step 4: Simplify right side
   89,185.50x = 18,099,531,690.25
5. Step 5: Solve for x
   x = 18,099,531,690.25/89,185.50
6. Step 6: Final answer
   x = 202,942.54