Finding the Third Proportional to 193,617 and 416,893.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,617 : 416,893.50 = 416,893.50 : x
2. Step 2: Convert to fraction form
   193,617/416,893.50 = 416,893.50/x
3. Step 3: Cross multiply
   193,617x = 416,893.50 × 416,893.50
4. Step 4: Simplify right side
   193,617x = 173,800,190,342.25
5. Step 5: Solve for x
   x = 173,800,190,342.25/193,617
6. Step 6: Final answer
   x = 897,649.43