Finding the Third Proportional to 78,820 and 121,152

Step by Step Solution

1. Step 1: Write the proportion equation
   78,820 : 121,152 = 121,152 : x
2. Step 2: Convert to fraction form
   78,820/121,152 = 121,152/x
3. Step 3: Cross multiply
   78,820x = 121,152 × 121,152
4. Step 4: Simplify right side
   78,820x = 14,677,807,104
5. Step 5: Solve for x
   x = 14,677,807,104/78,820
6. Step 6: Final answer
   x = 186,219.32