Finding the Third Proportional to 689,152 and 1,460,134

Step by Step Solution

1. Step 1: Write the proportion equation
   689,152 : 1,460,134 = 1,460,134 : x
2. Step 2: Convert to fraction form
   689,152/1,460,134 = 1,460,134/x
3. Step 3: Cross multiply
   689,152x = 1,460,134 × 1,460,134
4. Step 4: Simplify right side
   689,152x = 2,131,991,297,956
5. Step 5: Solve for x
   x = 2,131,991,297,956/689,152
6. Step 6: Final answer
   x = 3,093,644.51