Finding the Third Proportional to 256,194 and 385,116

Step by Step Solution

1. Step 1: Write the proportion equation
   256,194 : 385,116 = 385,116 : x
2. Step 2: Convert to fraction form
   256,194/385,116 = 385,116/x
3. Step 3: Cross multiply
   256,194x = 385,116 × 385,116
4. Step 4: Simplify right side
   256,194x = 148,314,333,456
5. Step 5: Solve for x
   x = 148,314,333,456/256,194
6. Step 6: Final answer
   x = 578,914.16