Finding the Third Proportional to 1,184,400 and 1,688,025

Step by Step Solution

1. Step 1: Write the proportion equation
   1,184,400 : 1,688,025 = 1,688,025 : x
2. Step 2: Convert to fraction form
   1,184,400/1,688,025 = 1,688,025/x
3. Step 3: Cross multiply
   1,184,400x = 1,688,025 × 1,688,025
4. Step 4: Simplify right side
   1,184,400x = 2,849,428,400,625
5. Step 5: Solve for x
   x = 2,849,428,400,625/1,184,400
6. Step 6: Final answer
   x = 2,405,799.05