Finding the Third Proportional to 1,147,140 and 1,680,138

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147,140 : 1,680,138 = 1,680,138 : x
2. Step 2: Convert to fraction form
   1,147,140/1,680,138 = 1,680,138/x
3. Step 3: Cross multiply
   1,147,140x = 1,680,138 × 1,680,138
4. Step 4: Simplify right side
   1,147,140x = 2,822,863,699,044
5. Step 5: Solve for x
   x = 2,822,863,699,044/1,147,140
6. Step 6: Final answer
   x = 2,460,783.95