Finding the Third Proportional to 91,076.50 and 135,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,076.50 : 135,678.50 = 135,678.50 : x
2. Step 2: Convert to fraction form
   91,076.50/135,678.50 = 135,678.50/x
3. Step 3: Cross multiply
   91,076.50x = 135,678.50 × 135,678.50
4. Step 4: Simplify right side
   91,076.50x = 18,408,655,362.25
5. Step 5: Solve for x
   x = 18,408,655,362.25/91,076.50
6. Step 6: Final answer
   x = 202,123.00