Finding the Third Proportional to 353,139 and 540,319.50

Step by Step Solution

1. Step 1: Write the proportion equation
   353,139 : 540,319.50 = 540,319.50 : x
2. Step 2: Convert to fraction form
   353,139/540,319.50 = 540,319.50/x
3. Step 3: Cross multiply
   353,139x = 540,319.50 × 540,319.50
4. Step 4: Simplify right side
   353,139x = 291,945,162,080.25
5. Step 5: Solve for x
   x = 291,945,162,080.25/353,139
6. Step 6: Final answer
   x = 826,714.59