Finding the Third Proportional to 90,146 and 169,012

Step by Step Solution

1. Step 1: Write the proportion equation
   90,146 : 169,012 = 169,012 : x
2. Step 2: Convert to fraction form
   90,146/169,012 = 169,012/x
3. Step 3: Cross multiply
   90,146x = 169,012 × 169,012
4. Step 4: Simplify right side
   90,146x = 28,565,056,144
5. Step 5: Solve for x
   x = 28,565,056,144/90,146
6. Step 6: Final answer
   x = 316,875.47