Finding the Third Proportional to 109,244.50 and 147,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,244.50 : 147,597.50 = 147,597.50 : x
2. Step 2: Convert to fraction form
   109,244.50/147,597.50 = 147,597.50/x
3. Step 3: Cross multiply
   109,244.50x = 147,597.50 × 147,597.50
4. Step 4: Simplify right side
   109,244.50x = 21,785,022,006.25
5. Step 5: Solve for x
   x = 21,785,022,006.25/109,244.50
6. Step 6: Final answer
   x = 199,415.27