Finding the Third Proportional to 85,588.50 and 113,593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,588.50 : 113,593.50 = 113,593.50 : x
2. Step 2: Convert to fraction form
   85,588.50/113,593.50 = 113,593.50/x
3. Step 3: Cross multiply
   85,588.50x = 113,593.50 × 113,593.50
4. Step 4: Simplify right side
   85,588.50x = 12,903,483,242.25
5. Step 5: Solve for x
   x = 12,903,483,242.25/85,588.50
6. Step 6: Final answer
   x = 150,761.88