Finding the Third Proportional to 85,575 and 113,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,575 : 113,569.50 = 113,569.50 : x
2. Step 2: Convert to fraction form
   85,575/113,569.50 = 113,569.50/x
3. Step 3: Cross multiply
   85,575x = 113,569.50 × 113,569.50
4. Step 4: Simplify right side
   85,575x = 12,898,031,330.25
5. Step 5: Solve for x
   x = 12,898,031,330.25/85,575
6. Step 6: Final answer
   x = 150,721.96