Finding the Third Proportional to 89,208 and 193,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,208 : 193,114.50 = 193,114.50 : x
2. Step 2: Convert to fraction form
   89,208/193,114.50 = 193,114.50/x
3. Step 3: Cross multiply
   89,208x = 193,114.50 × 193,114.50
4. Step 4: Simplify right side
   89,208x = 37,293,210,110.25
5. Step 5: Solve for x
   x = 37,293,210,110.25/89,208
6. Step 6: Final answer
   x = 418,047.82