Finding the Third Proportional to 380,322 and 598,155

Step by Step Solution

1. Step 1: Write the proportion equation
   380,322 : 598,155 = 598,155 : x
2. Step 2: Convert to fraction form
   380,322/598,155 = 598,155/x
3. Step 3: Cross multiply
   380,322x = 598,155 × 598,155
4. Step 4: Simplify right side
   380,322x = 357,789,404,025
5. Step 5: Solve for x
   x = 357,789,404,025/380,322
6. Step 6: Final answer
   x = 940,753.90