Finding the Third Proportional to 91,164 and 138,003.75

Step by Step Solution

1. Step 1: Write the proportion equation
   91,164 : 138,003.75 = 138,003.75 : x
2. Step 2: Convert to fraction form
   91,164/138,003.75 = 138,003.75/x
3. Step 3: Cross multiply
   91,164x = 138,003.75 × 138,003.75
4. Step 4: Simplify right side
   91,164x = 19,045,035,014.06
5. Step 5: Solve for x
   x = 19,045,035,014.06/91,164
6. Step 6: Final answer
   x = 208,909.60