Finding the Third Proportional to 95,892 and 201,893.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,892 : 201,893.50 = 201,893.50 : x
2. Step 2: Convert to fraction form
   95,892/201,893.50 = 201,893.50/x
3. Step 3: Cross multiply
   95,892x = 201,893.50 × 201,893.50
4. Step 4: Simplify right side
   95,892x = 40,760,985,342.25
5. Step 5: Solve for x
   x = 40,760,985,342.25/95,892
6. Step 6: Final answer
   x = 425,071.80