Finding the Third Proportional to 108,577.50 and 145,912.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,577.50 : 145,912.50 = 145,912.50 : x
2. Step 2: Convert to fraction form
   108,577.50/145,912.50 = 145,912.50/x
3. Step 3: Cross multiply
   108,577.50x = 145,912.50 × 145,912.50
4. Step 4: Simplify right side
   108,577.50x = 21,290,457,656.25
5. Step 5: Solve for x
   x = 21,290,457,656.25/108,577.50
6. Step 6: Final answer
   x = 196,085.36