Finding the Third Proportional to 347,680.50 and 538,059

Step by Step Solution

1. Step 1: Write the proportion equation
   347,680.50 : 538,059 = 538,059 : x
2. Step 2: Convert to fraction form
   347,680.50/538,059 = 538,059/x
3. Step 3: Cross multiply
   347,680.50x = 538,059 × 538,059
4. Step 4: Simplify right side
   347,680.50x = 289,507,487,481
5. Step 5: Solve for x
   x = 289,507,487,481/347,680.50
6. Step 6: Final answer
   x = 832,682.56