Finding the Third Proportional to 164,026.50 and 267,838.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,026.50 : 267,838.50 = 267,838.50 : x
2. Step 2: Convert to fraction form
   164,026.50/267,838.50 = 267,838.50/x
3. Step 3: Cross multiply
   164,026.50x = 267,838.50 × 267,838.50
4. Step 4: Simplify right side
   164,026.50x = 71,737,462,082.25
5. Step 5: Solve for x
   x = 71,737,462,082.25/164,026.50
6. Step 6: Final answer
   x = 437,352.88