Finding the Third Proportional to 164,025 and 209,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,025 : 209,587.50 = 209,587.50 : x
2. Step 2: Convert to fraction form
   164,025/209,587.50 = 209,587.50/x
3. Step 3: Cross multiply
   164,025x = 209,587.50 × 209,587.50
4. Step 4: Simplify right side
   164,025x = 43,926,920,156.25
5. Step 5: Solve for x
   x = 43,926,920,156.25/164,025
6. Step 6: Final answer
   x = 267,806.25