Finding the Third Proportional to 103,123.38 and 164,091.25

Step by Step Solution

1. Step 1: Write the proportion equation
   103,123.38 : 164,091.25 = 164,091.25 : x
2. Step 2: Convert to fraction form
   103,123.38/164,091.25 = 164,091.25/x
3. Step 3: Cross multiply
   103,123.38x = 164,091.25 × 164,091.25
4. Step 4: Simplify right side
   103,123.38x = 26,925,938,326.56
5. Step 5: Solve for x
   x = 26,925,938,326.56/103,123.38
6. Step 6: Final answer
   x = 261,104.12