Finding the Third Proportional to 184,416 and 402,345

Step by Step Solution

1. Step 1: Write the proportion equation
   184,416 : 402,345 = 402,345 : x
2. Step 2: Convert to fraction form
   184,416/402,345 = 402,345/x
3. Step 3: Cross multiply
   184,416x = 402,345 × 402,345
4. Step 4: Simplify right side
   184,416x = 161,881,499,025
5. Step 5: Solve for x
   x = 161,881,499,025/184,416
6. Step 6: Final answer
   x = 877,806.15