Finding the Third Proportional to 59,522 and 130,465

Step by Step Solution

1. Step 1: Write the proportion equation
   59,522 : 130,465 = 130,465 : x
2. Step 2: Convert to fraction form
   59,522/130,465 = 130,465/x
3. Step 3: Cross multiply
   59,522x = 130,465 × 130,465
4. Step 4: Simplify right side
   59,522x = 17,021,116,225
5. Step 5: Solve for x
   x = 17,021,116,225/59,522
6. Step 6: Final answer
   x = 285,963.45