Finding the Third Proportional to 52,258.50 and 78,505.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,258.50 : 78,505.50 = 78,505.50 : x
2. Step 2: Convert to fraction form
   52,258.50/78,505.50 = 78,505.50/x
3. Step 3: Cross multiply
   52,258.50x = 78,505.50 × 78,505.50
4. Step 4: Simplify right side
   52,258.50x = 6,163,113,530.25
5. Step 5: Solve for x
   x = 6,163,113,530.25/52,258.50
6. Step 6: Final answer
   x = 117,935.14