Finding the Third Proportional to 91,761 and 120,928.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,761 : 120,928.50 = 120,928.50 : x
2. Step 2: Convert to fraction form
   91,761/120,928.50 = 120,928.50/x
3. Step 3: Cross multiply
   91,761x = 120,928.50 × 120,928.50
4. Step 4: Simplify right side
   91,761x = 14,623,702,112.25
5. Step 5: Solve for x
   x = 14,623,702,112.25/91,761
6. Step 6: Final answer
   x = 159,367.29