Finding the Third Proportional to 101,038.50 and 147,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,038.50 : 147,109.50 = 147,109.50 : x
2. Step 2: Convert to fraction form
   101,038.50/147,109.50 = 147,109.50/x
3. Step 3: Cross multiply
   101,038.50x = 147,109.50 × 147,109.50
4. Step 4: Simplify right side
   101,038.50x = 21,641,204,990.25
5. Step 5: Solve for x
   x = 21,641,204,990.25/101,038.50
6. Step 6: Final answer
   x = 214,187.71