Finding the Third Proportional to 69,522 and 152,580

Step by Step Solution

1. Step 1: Write the proportion equation
   69,522 : 152,580 = 152,580 : x
2. Step 2: Convert to fraction form
   69,522/152,580 = 152,580/x
3. Step 3: Cross multiply
   69,522x = 152,580 × 152,580
4. Step 4: Simplify right side
   69,522x = 23,280,656,400
5. Step 5: Solve for x
   x = 23,280,656,400/69,522
6. Step 6: Final answer
   x = 334,867.47