Finding the Third Proportional to 380,196 and 569,152

Step by Step Solution

1. Step 1: Write the proportion equation
   380,196 : 569,152 = 569,152 : x
2. Step 2: Convert to fraction form
   380,196/569,152 = 569,152/x
3. Step 3: Cross multiply
   380,196x = 569,152 × 569,152
4. Step 4: Simplify right side
   380,196x = 323,933,999,104
5. Step 5: Solve for x
   x = 323,933,999,104/380,196
6. Step 6: Final answer
   x = 852,018.43