Finding the Third Proportional to 193,907.50 and 405,382

Step by Step Solution

1. Step 1: Write the proportion equation
   193,907.50 : 405,382 = 405,382 : x
2. Step 2: Convert to fraction form
   193,907.50/405,382 = 405,382/x
3. Step 3: Cross multiply
   193,907.50x = 405,382 × 405,382
4. Step 4: Simplify right side
   193,907.50x = 164,334,565,924
5. Step 5: Solve for x
   x = 164,334,565,924/193,907.50
6. Step 6: Final answer
   x = 847,489.48