Finding the Third Proportional to 88,002 and 192,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,002 : 192,892.50 = 192,892.50 : x
2. Step 2: Convert to fraction form
   88,002/192,892.50 = 192,892.50/x
3. Step 3: Cross multiply
   88,002x = 192,892.50 × 192,892.50
4. Step 4: Simplify right side
   88,002x = 37,207,516,556.25
5. Step 5: Solve for x
   x = 37,207,516,556.25/88,002
6. Step 6: Final answer
   x = 422,803.08