Finding the Third Proportional to 90,624 and 139,080

Step by Step Solution

1. Step 1: Write the proportion equation
   90,624 : 139,080 = 139,080 : x
2. Step 2: Convert to fraction form
   90,624/139,080 = 139,080/x
3. Step 3: Cross multiply
   90,624x = 139,080 × 139,080
4. Step 4: Simplify right side
   90,624x = 19,343,246,400
5. Step 5: Solve for x
   x = 19,343,246,400/90,624
6. Step 6: Final answer
   x = 213,445.07