Finding the Third Proportional to 91,769.50 and 141,838.25

Step by Step Solution

1. Step 1: Write the proportion equation
   91,769.50 : 141,838.25 = 141,838.25 : x
2. Step 2: Convert to fraction form
   91,769.50/141,838.25 = 141,838.25/x
3. Step 3: Cross multiply
   91,769.50x = 141,838.25 × 141,838.25
4. Step 4: Simplify right side
   91,769.50x = 20,118,089,163.06
5. Step 5: Solve for x
   x = 20,118,089,163.06/91,769.50
6. Step 6: Final answer
   x = 219,224.13