Finding the Third Proportional to 1,184,406 and 1,688,033

Step by Step Solution

1. Step 1: Write the proportion equation
   1,184,406 : 1,688,033 = 1,688,033 : x
2. Step 2: Convert to fraction form
   1,184,406/1,688,033 = 1,688,033/x
3. Step 3: Cross multiply
   1,184,406x = 1,688,033 × 1,688,033
4. Step 4: Simplify right side
   1,184,406x = 2,849,455,409,089
5. Step 5: Solve for x
   x = 2,849,455,409,089/1,184,406
6. Step 6: Final answer
   x = 2,405,809.67