Finding the Third Proportional to 93,684.75 and 138,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   93,684.75 : 138,046.50 = 138,046.50 : x
2. Step 2: Convert to fraction form
   93,684.75/138,046.50 = 138,046.50/x
3. Step 3: Cross multiply
   93,684.75x = 138,046.50 × 138,046.50
4. Step 4: Simplify right side
   93,684.75x = 19,056,836,162.25
5. Step 5: Solve for x
   x = 19,056,836,162.25/93,684.75
6. Step 6: Final answer
   x = 203,414.50