Finding the Third Proportional to 116,752 and 256,832

Step by Step Solution

1. Step 1: Write the proportion equation
   116,752 : 256,832 = 256,832 : x
2. Step 2: Convert to fraction form
   116,752/256,832 = 256,832/x
3. Step 3: Cross multiply
   116,752x = 256,832 × 256,832
4. Step 4: Simplify right side
   116,752x = 65,962,676,224
5. Step 5: Solve for x
   x = 65,962,676,224/116,752
6. Step 6: Final answer
   x = 564,981.12