Finding the Third Proportional to 100,816 and 152,034

Step by Step Solution

1. Step 1: Write the proportion equation
   100,816 : 152,034 = 152,034 : x
2. Step 2: Convert to fraction form
   100,816/152,034 = 152,034/x
3. Step 3: Cross multiply
   100,816x = 152,034 × 152,034
4. Step 4: Simplify right side
   100,816x = 23,114,337,156
5. Step 5: Solve for x
   x = 23,114,337,156/100,816
6. Step 6: Final answer
   x = 229,272.51