Finding the Third Proportional to 61,580 and 133,002

Step by Step Solution

1. Step 1: Write the proportion equation
   61,580 : 133,002 = 133,002 : x
2. Step 2: Convert to fraction form
   61,580/133,002 = 133,002/x
3. Step 3: Cross multiply
   61,580x = 133,002 × 133,002
4. Step 4: Simplify right side
   61,580x = 17,689,532,004
5. Step 5: Solve for x
   x = 17,689,532,004/61,580
6. Step 6: Final answer
   x = 287,260.99