Finding the Third Proportional to 90,624 and 130,536

Step by Step Solution

1. Step 1: Write the proportion equation
   90,624 : 130,536 = 130,536 : x
2. Step 2: Convert to fraction form
   90,624/130,536 = 130,536/x
3. Step 3: Cross multiply
   90,624x = 130,536 × 130,536
4. Step 4: Simplify right side
   90,624x = 17,039,647,296
5. Step 5: Solve for x
   x = 17,039,647,296/90,624
6. Step 6: Final answer
   x = 188,025.77