Finding the Third Proportional to 117,535 and 173,832

Step by Step Solution

1. Step 1: Write the proportion equation
   117,535 : 173,832 = 173,832 : x
2. Step 2: Convert to fraction form
   117,535/173,832 = 173,832/x
3. Step 3: Cross multiply
   117,535x = 173,832 × 173,832
4. Step 4: Simplify right side
   117,535x = 30,217,564,224
5. Step 5: Solve for x
   x = 30,217,564,224/117,535
6. Step 6: Final answer
   x = 257,094.18