Finding the Third Proportional to 138,947 and 215,285.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,947 : 215,285.50 = 215,285.50 : x
2. Step 2: Convert to fraction form
   138,947/215,285.50 = 215,285.50/x
3. Step 3: Cross multiply
   138,947x = 215,285.50 × 215,285.50
4. Step 4: Simplify right side
   138,947x = 46,347,846,510.25
5. Step 5: Solve for x
   x = 46,347,846,510.25/138,947
6. Step 6: Final answer
   x = 333,564.93