Finding the Third Proportional to 103,697.50 and 164,886.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,697.50 : 164,886.50 = 164,886.50 : x
2. Step 2: Convert to fraction form
   103,697.50/164,886.50 = 164,886.50/x
3. Step 3: Cross multiply
   103,697.50x = 164,886.50 × 164,886.50
4. Step 4: Simplify right side
   103,697.50x = 27,187,557,882.25
5. Step 5: Solve for x
   x = 27,187,557,882.25/103,697.50
6. Step 6: Final answer
   x = 262,181.42