Finding the Third Proportional to 164,032.50 and 209,598

Step by Step Solution

1. Step 1: Write the proportion equation
   164,032.50 : 209,598 = 209,598 : x
2. Step 2: Convert to fraction form
   164,032.50/209,598 = 209,598/x
3. Step 3: Cross multiply
   164,032.50x = 209,598 × 209,598
4. Step 4: Simplify right side
   164,032.50x = 43,931,321,604
5. Step 5: Solve for x
   x = 43,931,321,604/164,032.50
6. Step 6: Final answer
   x = 267,820.84