Finding the Third Proportional to 140,038.50 and 209,139

Step by Step Solution

1. Step 1: Write the proportion equation
   140,038.50 : 209,139 = 209,139 : x
2. Step 2: Convert to fraction form
   140,038.50/209,139 = 209,139/x
3. Step 3: Cross multiply
   140,038.50x = 209,139 × 209,139
4. Step 4: Simplify right side
   140,038.50x = 43,739,121,321
5. Step 5: Solve for x
   x = 43,739,121,321/140,038.50
6. Step 6: Final answer
   x = 312,336.40