Finding the Third Proportional to 187,096.50 and 385,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   187,096.50 : 385,222.50 = 385,222.50 : x
2. Step 2: Convert to fraction form
   187,096.50/385,222.50 = 385,222.50/x
3. Step 3: Cross multiply
   187,096.50x = 385,222.50 × 385,222.50
4. Step 4: Simplify right side
   187,096.50x = 148,396,374,506.25
5. Step 5: Solve for x
   x = 148,396,374,506.25/187,096.50
6. Step 6: Final answer
   x = 793,154.20