Finding the Third Proportional to 83,007 and 124,595.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,007 : 124,595.50 = 124,595.50 : x
2. Step 2: Convert to fraction form
   83,007/124,595.50 = 124,595.50/x
3. Step 3: Cross multiply
   83,007x = 124,595.50 × 124,595.50
4. Step 4: Simplify right side
   83,007x = 15,524,038,620.25
5. Step 5: Solve for x
   x = 15,524,038,620.25/83,007
6. Step 6: Final answer
   x = 187,020.84