Finding the Third Proportional to 184,384 and 402,140

Step by Step Solution

1. Step 1: Write the proportion equation
   184,384 : 402,140 = 402,140 : x
2. Step 2: Convert to fraction form
   184,384/402,140 = 402,140/x
3. Step 3: Cross multiply
   184,384x = 402,140 × 402,140
4. Step 4: Simplify right side
   184,384x = 161,716,579,600
5. Step 5: Solve for x
   x = 161,716,579,600/184,384
6. Step 6: Final answer
   x = 877,064.06