Finding the Third Proportional to 95,092 and 200,795.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,092 : 200,795.50 = 200,795.50 : x
2. Step 2: Convert to fraction form
   95,092/200,795.50 = 200,795.50/x
3. Step 3: Cross multiply
   95,092x = 200,795.50 × 200,795.50
4. Step 4: Simplify right side
   95,092x = 40,318,832,820.25
5. Step 5: Solve for x
   x = 40,318,832,820.25/95,092
6. Step 6: Final answer
   x = 423,998.16