Finding the Third Proportional to 191,884 and 407,152

Step by Step Solution

1. Step 1: Write the proportion equation
   191,884 : 407,152 = 407,152 : x
2. Step 2: Convert to fraction form
   191,884/407,152 = 407,152/x
3. Step 3: Cross multiply
   191,884x = 407,152 × 407,152
4. Step 4: Simplify right side
   191,884x = 165,772,751,104
5. Step 5: Solve for x
   x = 165,772,751,104/191,884
6. Step 6: Final answer
   x = 863,921.70