Finding the Third Proportional to 85,602 and 128,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,602 : 128,662.50 = 128,662.50 : x
2. Step 2: Convert to fraction form
   85,602/128,662.50 = 128,662.50/x
3. Step 3: Cross multiply
   85,602x = 128,662.50 × 128,662.50
4. Step 4: Simplify right side
   85,602x = 16,554,038,906.25
5. Step 5: Solve for x
   x = 16,554,038,906.25/85,602
6. Step 6: Final answer
   x = 193,383.79