Finding the Third Proportional to 532,590 and 749,123

Step by Step Solution

1. Step 1: Write the proportion equation
   532,590 : 749,123 = 749,123 : x
2. Step 2: Convert to fraction form
   532,590/749,123 = 749,123/x
3. Step 3: Cross multiply
   532,590x = 749,123 × 749,123
4. Step 4: Simplify right side
   532,590x = 561,185,269,129
5. Step 5: Solve for x
   x = 561,185,269,129/532,590
6. Step 6: Final answer
   x = 1,053,690.96