Finding the Third Proportional to 380,310 and 584,613

Step by Step Solution

1. Step 1: Write the proportion equation
   380,310 : 584,613 = 584,613 : x
2. Step 2: Convert to fraction form
   380,310/584,613 = 584,613/x
3. Step 3: Cross multiply
   380,310x = 584,613 × 584,613
4. Step 4: Simplify right side
   380,310x = 341,772,359,769
5. Step 5: Solve for x
   x = 341,772,359,769/380,310
6. Step 6: Final answer
   x = 898,667.82