Finding the Third Proportional to 91,546.50 and 138,611.25

Step by Step Solution

1. Step 1: Write the proportion equation
   91,546.50 : 138,611.25 = 138,611.25 : x
2. Step 2: Convert to fraction form
   91,546.50/138,611.25 = 138,611.25/x
3. Step 3: Cross multiply
   91,546.50x = 138,611.25 × 138,611.25
4. Step 4: Simplify right side
   91,546.50x = 19,213,078,626.56
5. Step 5: Solve for x
   x = 19,213,078,626.56/91,546.50
6. Step 6: Final answer
   x = 209,872.34