Finding the Third Proportional to 185,827.50 and 397,890

Step by Step Solution

1. Step 1: Write the proportion equation
   185,827.50 : 397,890 = 397,890 : x
2. Step 2: Convert to fraction form
   185,827.50/397,890 = 397,890/x
3. Step 3: Cross multiply
   185,827.50x = 397,890 × 397,890
4. Step 4: Simplify right side
   185,827.50x = 158,316,452,100
5. Step 5: Solve for x
   x = 158,316,452,100/185,827.50
6. Step 6: Final answer
   x = 851,953.84