Finding the Third Proportional to 88,005 and 192,898.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,005 : 192,898.50 = 192,898.50 : x
2. Step 2: Convert to fraction form
   88,005/192,898.50 = 192,898.50/x
3. Step 3: Cross multiply
   88,005x = 192,898.50 × 192,898.50
4. Step 4: Simplify right side
   88,005x = 37,209,831,302.25
5. Step 5: Solve for x
   x = 37,209,831,302.25/88,005
6. Step 6: Final answer
   x = 422,814.97