Finding the Third Proportional to 52,258 and 78,504

Step by Step Solution

1. Step 1: Write the proportion equation
   52,258 : 78,504 = 78,504 : x
2. Step 2: Convert to fraction form
   52,258/78,504 = 78,504/x
3. Step 3: Cross multiply
   52,258x = 78,504 × 78,504
4. Step 4: Simplify right side
   52,258x = 6,162,878,016
5. Step 5: Solve for x
   x = 6,162,878,016/52,258
6. Step 6: Final answer
   x = 117,931.76