Finding the Third Proportional to 93,806 and 200,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   93,806 : 200,733.50 = 200,733.50 : x
2. Step 2: Convert to fraction form
   93,806/200,733.50 = 200,733.50/x
3. Step 3: Cross multiply
   93,806x = 200,733.50 × 200,733.50
4. Step 4: Simplify right side
   93,806x = 40,293,938,022.25
5. Step 5: Solve for x
   x = 40,293,938,022.25/93,806
6. Step 6: Final answer
   x = 429,545.42