Finding the Third Proportional to 222,076 and 291,564

Step by Step Solution

1. Step 1: Write the proportion equation
   222,076 : 291,564 = 291,564 : x
2. Step 2: Convert to fraction form
   222,076/291,564 = 291,564/x
3. Step 3: Cross multiply
   222,076x = 291,564 × 291,564
4. Step 4: Simplify right side
   222,076x = 85,009,566,096
5. Step 5: Solve for x
   x = 85,009,566,096/222,076
6. Step 6: Final answer
   x = 382,794.93