Finding the Third Proportional to 58,735.50 and 114,513

Step by Step Solution

1. Step 1: Write the proportion equation
   58,735.50 : 114,513 = 114,513 : x
2. Step 2: Convert to fraction form
   58,735.50/114,513 = 114,513/x
3. Step 3: Cross multiply
   58,735.50x = 114,513 × 114,513
4. Step 4: Simplify right side
   58,735.50x = 13,113,227,169
5. Step 5: Solve for x
   x = 13,113,227,169/58,735.50
6. Step 6: Final answer
   x = 223,258.97