Finding the Third Proportional to 222,592 and 456,120

Step by Step Solution

1. Step 1: Write the proportion equation
   222,592 : 456,120 = 456,120 : x
2. Step 2: Convert to fraction form
   222,592/456,120 = 456,120/x
3. Step 3: Cross multiply
   222,592x = 456,120 × 456,120
4. Step 4: Simplify right side
   222,592x = 208,045,454,400
5. Step 5: Solve for x
   x = 208,045,454,400/222,592
6. Step 6: Final answer
   x = 934,649.29