Finding the Third Proportional to 137,077.31 and 285,123.80

Step by Step Solution

1. Step 1: Write the proportion equation
   137,077.31 : 285,123.80 = 285,123.80 : x
2. Step 2: Convert to fraction form
   137,077.31/285,123.80 = 285,123.80/x
3. Step 3: Cross multiply
   137,077.31x = 285,123.80 × 285,123.80
4. Step 4: Simplify right side
   137,077.31x = 81,295,579,544.42
5. Step 5: Solve for x
   x = 81,295,579,544.42/137,077.31
6. Step 6: Final answer
   x = 593,063.71