Finding the Third Proportional to 144,594 and 216,123

Step by Step Solution

1. Step 1: Write the proportion equation
   144,594 : 216,123 = 216,123 : x
2. Step 2: Convert to fraction form
   144,594/216,123 = 216,123/x
3. Step 3: Cross multiply
   144,594x = 216,123 × 216,123
4. Step 4: Simplify right side
   144,594x = 46,709,151,129
5. Step 5: Solve for x
   x = 46,709,151,129/144,594
6. Step 6: Final answer
   x = 323,036.58