Finding the Third Proportional to 187,106 and 410,090.50

Step by Step Solution

1. Step 1: Write the proportion equation
   187,106 : 410,090.50 = 410,090.50 : x
2. Step 2: Convert to fraction form
   187,106/410,090.50 = 410,090.50/x
3. Step 3: Cross multiply
   187,106x = 410,090.50 × 410,090.50
4. Step 4: Simplify right side
   187,106x = 168,174,218,190.25
5. Step 5: Solve for x
   x = 168,174,218,190.25/187,106
6. Step 6: Final answer
   x = 898,817.88