Finding the Third Proportional to 90,152 and 169,024

Step by Step Solution

1. Step 1: Write the proportion equation
   90,152 : 169,024 = 169,024 : x
2. Step 2: Convert to fraction form
   90,152/169,024 = 169,024/x
3. Step 3: Cross multiply
   90,152x = 169,024 × 169,024
4. Step 4: Simplify right side
   90,152x = 28,569,112,576
5. Step 5: Solve for x
   x = 28,569,112,576/90,152
6. Step 6: Final answer
   x = 316,899.38