Finding the Third Proportional to 101,709.50 and 147,947.25

Step by Step Solution

1. Step 1: Write the proportion equation
   101,709.50 : 147,947.25 = 147,947.25 : x
2. Step 2: Convert to fraction form
   101,709.50/147,947.25 = 147,947.25/x
3. Step 3: Cross multiply
   101,709.50x = 147,947.25 × 147,947.25
4. Step 4: Simplify right side
   101,709.50x = 21,888,388,782.56
5. Step 5: Solve for x
   x = 21,888,388,782.56/101,709.50
6. Step 6: Final answer
   x = 215,204.96