Finding the Third Proportional to 77,820 and 113,328

Step by Step Solution

1. Step 1: Write the proportion equation
   77,820 : 113,328 = 113,328 : x
2. Step 2: Convert to fraction form
   77,820/113,328 = 113,328/x
3. Step 3: Cross multiply
   77,820x = 113,328 × 113,328
4. Step 4: Simplify right side
   77,820x = 12,843,235,584
5. Step 5: Solve for x
   x = 12,843,235,584/77,820
6. Step 6: Final answer
   x = 165,037.72