Finding the Third Proportional to 83,700 and 127,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,700 : 127,507.50 = 127,507.50 : x
2. Step 2: Convert to fraction form
   83,700/127,507.50 = 127,507.50/x
3. Step 3: Cross multiply
   83,700x = 127,507.50 × 127,507.50
4. Step 4: Simplify right side
   83,700x = 16,258,162,556.25
5. Step 5: Solve for x
   x = 16,258,162,556.25/83,700
6. Step 6: Final answer
   x = 194,243.28